Manin, I︠U︡. I.
Overview
Works:  212 works in 656 publications in 4 languages and 9,413 library holdings 

Genres:  Conference proceedings History 
Roles:  Author, Editor, Honoree, Author of introduction, Translator, Other, Dedicatee, Interviewee, Adapter 
Classifications:  QA649, 516.36 
Publication Timeline
.
Most widely held works about
I︠U︡. I Manin
 Late style Yuri Ivanovich Manin looking back on a life in mathematics( Visual )
 Late style Yuri I. Manin looking back on a life in mathematics( Visual )
 My life is not a conveyor belt by I︠U︡. I Manin( )
Most widely held works by
I︠U︡. I Manin
Gauge field theory and complex geometry by
I︠U︡. I Manin(
Book
)
29 editions published between 1988 and 2011 in English and German and held by 651 WorldCat member libraries worldwide
From the reviews: " ... focused mainly on complex differential geometry and holomorphic bundle theory. This is a powerful book, written by a very distinguished contributor to the field" (Contemporary Physics)"the book provides a large amount of background for current research across a spectrum of field. ... requires effort to read but it is worthwhile and rewarding" (New Zealand Math. Soc. Newsletter) " The contents are highly technical and the pace of the exposition is quite fast. Manin is an outstanding mathematician, and writer as well, perfectly at ease in the most abstract and complex situation. With such a guide the reader will be generously rewarded!" (Physicalia) This new edition includes an Appendix on developments of the last 10 years, by S. Merkulov
29 editions published between 1988 and 2011 in English and German and held by 651 WorldCat member libraries worldwide
From the reviews: " ... focused mainly on complex differential geometry and holomorphic bundle theory. This is a powerful book, written by a very distinguished contributor to the field" (Contemporary Physics)"the book provides a large amount of background for current research across a spectrum of field. ... requires effort to read but it is worthwhile and rewarding" (New Zealand Math. Soc. Newsletter) " The contents are highly technical and the pace of the exposition is quite fast. Manin is an outstanding mathematician, and writer as well, perfectly at ease in the most abstract and complex situation. With such a guide the reader will be generously rewarded!" (Physicalia) This new edition includes an Appendix on developments of the last 10 years, by S. Merkulov
Cubic forms; algebra, geometry, arithmetic by
I︠U︡. I Manin(
Book
)
28 editions published between 1974 and 1986 in 3 languages and held by 605 WorldCat member libraries worldwide
Since this book was first published in English, there has been important progress in a number of related topics. The class of algebraic varieties close to the rational ones has crystallized as a natural domain for the methods developed and expounded in this volume. For this revised edition, the original text has been left intact (except for a few corrections) and has been brought up to date by the addition of an Appendix and recent references. The Appendix sketches some of the most essential new results, constructions and ideas, including the solutions of the Luroth and Zariski problems, the th
28 editions published between 1974 and 1986 in 3 languages and held by 605 WorldCat member libraries worldwide
Since this book was first published in English, there has been important progress in a number of related topics. The class of algebraic varieties close to the rational ones has crystallized as a natural domain for the methods developed and expounded in this volume. For this revised edition, the original text has been left intact (except for a few corrections) and has been brought up to date by the addition of an Appendix and recent references. The Appendix sketches some of the most essential new results, constructions and ideas, including the solutions of the Luroth and Zariski problems, the th
Mathematics and physics by
I︠U︡. I Manin(
Book
)
20 editions published between 1979 and 1983 in 3 languages and held by 593 WorldCat member libraries worldwide
20 editions published between 1979 and 1983 in 3 languages and held by 593 WorldCat member libraries worldwide
A course in mathematical logic by
I︠U︡. I Manin(
Book
)
19 editions published between 1977 and 1984 in English and Undetermined and held by 572 WorldCat member libraries worldwide
This book is a text of mathematical logic on a sophisticated level, presenting the reader with several of the most significant discoveries of the last 10 to 15 years, including the independence of the continuum hypothesis, the Diophantine nature of enumerable sets and the impossibility of finding an algorithmic solution for certain problems. The book contains the first textbook presentation of Matijasevic's result. The central notions are provability and computability; the emphasis of the presentation is on aspects of the theory which are of interest to the working mathematician. Many of the approaches and topics covered are not standard parts of logic courses; they include a discussion of the logic of quantum mechanics, Goedel's constructible sets as a subclass of von Neumann's universe, the Kolmogorov theory of complexity. Feferman's theorem on Goedel formulas as axioms and Highman's theorem on groups defined by enumerable sets of generators and relations. A number of informal digressions concerned with psychology, linguistics, and common sense logic should interest students of the philosophy of science or the humanities
19 editions published between 1977 and 1984 in English and Undetermined and held by 572 WorldCat member libraries worldwide
This book is a text of mathematical logic on a sophisticated level, presenting the reader with several of the most significant discoveries of the last 10 to 15 years, including the independence of the continuum hypothesis, the Diophantine nature of enumerable sets and the impossibility of finding an algorithmic solution for certain problems. The book contains the first textbook presentation of Matijasevic's result. The central notions are provability and computability; the emphasis of the presentation is on aspects of the theory which are of interest to the working mathematician. Many of the approaches and topics covered are not standard parts of logic courses; they include a discussion of the logic of quantum mechanics, Goedel's constructible sets as a subclass of von Neumann's universe, the Kolmogorov theory of complexity. Feferman's theorem on Goedel formulas as axioms and Highman's theorem on groups defined by enumerable sets of generators and relations. A number of informal digressions concerned with psychology, linguistics, and common sense logic should interest students of the philosophy of science or the humanities
Methods of homological algebra by
S. I Gelʹfand(
Book
)
27 editions published between 1996 and 2011 in English and German and held by 529 WorldCat member libraries worldwide
Homological algebra first arose as a language for describing topological prospects of geometrical objects. As with every successful language it quickly expanded its coverage and semantics, and its contemporary applications are many and diverse. This modern approach to homological algebra, by two leading writers in the field, is based on the systematic use of the language and ideas of derived categories and derived functors. Relations with standard cohomology theory (sheaf cohomology, spectral sequences, etc.) are described. In most cases complete proofs are given. Basic concepts and results of homotopical algebra are also presented. The book addresses people who want to learn a modern approach to homological algebra and to use it in their work. For the second edition the authors have made numerous corrections
27 editions published between 1996 and 2011 in English and German and held by 529 WorldCat member libraries worldwide
Homological algebra first arose as a language for describing topological prospects of geometrical objects. As with every successful language it quickly expanded its coverage and semantics, and its contemporary applications are many and diverse. This modern approach to homological algebra, by two leading writers in the field, is based on the systematic use of the language and ideas of derived categories and derived functors. Relations with standard cohomology theory (sheaf cohomology, spectral sequences, etc.) are described. In most cases complete proofs are given. Basic concepts and results of homotopical algebra are also presented. The book addresses people who want to learn a modern approach to homological algebra and to use it in their work. For the second edition the authors have made numerous corrections
Linear algebra and geometry by
A. I Kostrikin(
Book
)
25 editions published between 1988 and 2005 in English and held by 450 WorldCat member libraries worldwide
25 editions published between 1988 and 2005 in English and held by 450 WorldCat member libraries worldwide
Ktheory, arithmetic and geometry : seminar, Moscow University, 19841986 by
I︠U︡. I Manin(
Book
)
19 editions published in 1987 in English and held by 409 WorldCat member libraries worldwide
This volume of research papers is an outgrowth of the Manin Seminar at Moscow University, devoted to Ktheory, homological algebra and algebraic geometry. The main topics discussed include additive Ktheory, cyclic cohomology, mixed Hodge structures, theory of Virasoro and NeveuSchwarz algebras
19 editions published in 1987 in English and held by 409 WorldCat member libraries worldwide
This volume of research papers is an outgrowth of the Manin Seminar at Moscow University, devoted to Ktheory, homological algebra and algebraic geometry. The main topics discussed include additive Ktheory, cyclic cohomology, mixed Hodge structures, theory of Virasoro and NeveuSchwarz algebras
Topics in noncommutative geometry by
I︠U︡. I Manin(
Book
)
12 editions published between 1991 and 2014 in English and Undetermined and held by 380 WorldCat member libraries worldwide
12 editions published between 1991 and 2014 in English and Undetermined and held by 380 WorldCat member libraries worldwide
Frobenius manifolds, quantum cohomology, and moduli spaces by
I︠U︡. I Manin(
Book
)
9 editions published in 1999 in English and held by 344 WorldCat member libraries worldwide
9 editions published in 1999 in English and held by 344 WorldCat member libraries worldwide
Introduction to modern number theory : fundamental problems, ideas and theories by
I︠U︡. I Manin(
Book
)
34 editions published between 2005 and 2013 in English and held by 306 WorldCat member libraries worldwide
"Introduction to Modern Number Theory" surveys from a unified point of view both the modern state and the trends of continuing development of various branches of number theory. Motivated by elementary problems, the central ideas of modern theories are exposed. Some topics covered include nonAbelian generalizations of class field theory, recursive computability and Diophantine equations, zeta and Lfunctions. This substantially revised and expanded new edition contains several new sections, such as Wiles' proof of Fermat's Last Theorem, and relevant techniques coming from a synthesis of various theories. Moreover, the authors have added a part dedicated to arithmetical cohomology and noncommutative geometry, a report on point counts on varieties with many rational points, the recent polynomial time algorithm for primality testing, and some others subjects. From the reviews of the 2nd edition: "... For my part, I come to praise this fine volume. This book is a highly instructive read ... the quality, knowledge, and expertise of the authors shines through. ... The present volume is almost startlingly uptodate ..." (A. van der Poorten, Gazette, Australian Math. Soc. 34 (1), 2007)
34 editions published between 2005 and 2013 in English and held by 306 WorldCat member libraries worldwide
"Introduction to Modern Number Theory" surveys from a unified point of view both the modern state and the trends of continuing development of various branches of number theory. Motivated by elementary problems, the central ideas of modern theories are exposed. Some topics covered include nonAbelian generalizations of class field theory, recursive computability and Diophantine equations, zeta and Lfunctions. This substantially revised and expanded new edition contains several new sections, such as Wiles' proof of Fermat's Last Theorem, and relevant techniques coming from a synthesis of various theories. Moreover, the authors have added a part dedicated to arithmetical cohomology and noncommutative geometry, a report on point counts on varieties with many rational points, the recent polynomial time algorithm for primality testing, and some others subjects. From the reviews of the 2nd edition: "... For my part, I come to praise this fine volume. This book is a highly instructive read ... the quality, knowledge, and expertise of the authors shines through. ... The present volume is almost startlingly uptodate ..." (A. van der Poorten, Gazette, Australian Math. Soc. 34 (1), 2007)
Number theory I : fundamental problems, ideas and theories by
I︠U︡. I Manin(
Book
)
5 editions published between 1992 and 1995 in English and held by 256 WorldCat member libraries worldwide
This book is a survey of the most important directions of research in transcendental number theory. The central topics in this theory include proofs of irrationality and transcendence of various numbers, especially those that arise as the values of special functions. Questions of this sort go back to ancient times. An example is the old problem of squaring the circle, which Lindemann showed to be impossible in 1882, when he proved that $Öpi$ is a transcendental number. Euler's conjecture that the logarithm of an algebraic number to an algebraic base is transcendental was included in Hilbert's famous list of open problems; this conjecture was proved by Gel'fond and Schneider in 1934. A more recent result was ApÖ'ery's surprising proof of the irrationality of $Özeta(3)$ in 1979. The quantitative aspects of the theory have important applications to the study of Diophantine equations and other areas of number theory. For a reader interested in different branches of number theory, this monograph provides both an overview of the central ideas and techniques of transcendental number theory, and also a guide to the most important results
5 editions published between 1992 and 1995 in English and held by 256 WorldCat member libraries worldwide
This book is a survey of the most important directions of research in transcendental number theory. The central topics in this theory include proofs of irrationality and transcendence of various numbers, especially those that arise as the values of special functions. Questions of this sort go back to ancient times. An example is the old problem of squaring the circle, which Lindemann showed to be impossible in 1882, when he proved that $Öpi$ is a transcendental number. Euler's conjecture that the logarithm of an algebraic number to an algebraic base is transcendental was included in Hilbert's famous list of open problems; this conjecture was proved by Gel'fond and Schneider in 1934. A more recent result was ApÖ'ery's surprising proof of the irrationality of $Özeta(3)$ in 1979. The quantitative aspects of the theory have important applications to the study of Diophantine equations and other areas of number theory. For a reader interested in different branches of number theory, this monograph provides both an overview of the central ideas and techniques of transcendental number theory, and also a guide to the most important results
Mathematics as metaphor : selected essays of Yuri I. Manin by
I︠U︡. I Manin(
Book
)
10 editions published between 2007 and 2008 in English and held by 214 WorldCat member libraries worldwide
"The book includes fifteen essays and an interview. The essays are grouped in three parts: Mathematics; Mathematics and Physics; and Language, Consciousness, and Book reviews. Most of the essays are about some aspects of epistemology and the history of sciences, mainly mathematics, physics, and the history of language. English translations of some of the essays, originally published in Russian, appear for the first time in this selection. One of them is the introduction to the book Computable and Uncomputable, where the idea of a quantum computer was first proposed in 1980. Another is an essay on the mythological trickster figure, where the evolutionary role of manipulative behavior is discussed in connection with the problem of the origin of human language. With the foreword by Freeman Dyson, this book will be of interest to anyone interested in the philosophy and history of mathematics, physics, and linguistics."BOOK JACKET
10 editions published between 2007 and 2008 in English and held by 214 WorldCat member libraries worldwide
"The book includes fifteen essays and an interview. The essays are grouped in three parts: Mathematics; Mathematics and Physics; and Language, Consciousness, and Book reviews. Most of the essays are about some aspects of epistemology and the history of sciences, mainly mathematics, physics, and the history of language. English translations of some of the essays, originally published in Russian, appear for the first time in this selection. One of them is the introduction to the book Computable and Uncomputable, where the idea of a quantum computer was first proposed in 1980. Another is an essay on the mythological trickster figure, where the evolutionary role of manipulative behavior is discussed in connection with the problem of the origin of human language. With the foreword by Freeman Dyson, this book will be of interest to anyone interested in the philosophy and history of mathematics, physics, and linguistics."BOOK JACKET
A course in mathematical logic for mathematicians by
I︠U︡. I Manin(
Book
)
17 editions published between 2010 and 2012 in English and held by 209 WorldCat member libraries worldwide
"A Course in Mathematical Logic for Mathematicians, Second Edition offers a straightforward introduction to modern mathematical logic that will appeal to the intuition of working mathematicians. The book begins with an elementary introduction to formal languages and proceeds to a discussion of proof theory. It then presents several highlights of 20th century mathematical logic, including theorems of Godel and Tarski, and Cohen's theorem on the independence of the continuum hypothesis. A unique feature of the text is a discussion of quantum logic." "The exposition then moves to a discussion of computability theory that is based on the notion of recursive functions and stresses numbertheoretic connections. The text presents a complete proof of the theorem of DavisPutnamRobinsonMatiyasevich as well as a proof of Higman's theorem on recursive groups. Kolmogorov complexity is also treated"Book jacket
17 editions published between 2010 and 2012 in English and held by 209 WorldCat member libraries worldwide
"A Course in Mathematical Logic for Mathematicians, Second Edition offers a straightforward introduction to modern mathematical logic that will appeal to the intuition of working mathematicians. The book begins with an elementary introduction to formal languages and proceeds to a discussion of proof theory. It then presents several highlights of 20th century mathematical logic, including theorems of Godel and Tarski, and Cohen's theorem on the independence of the continuum hypothesis. A unique feature of the text is a discussion of quantum logic." "The exposition then moves to a discussion of computability theory that is based on the notion of recursive functions and stresses numbertheoretic connections. The text presents a complete proof of the theorem of DavisPutnamRobinsonMatiyasevich as well as a proof of Higman's theorem on recursive groups. Kolmogorov complexity is also treated"Book jacket
Elementary particles : mathematics, physics and philosophy by
I. I︠U︡ Kobzarev(
Book
)
11 editions published in 1989 in English and held by 200 WorldCat member libraries worldwide
11 editions published in 1989 in English and held by 200 WorldCat member libraries worldwide
Algebraic and topological dynamics : Algebraic and topological dynamics, May 1July 31, 2004, MaxPlanckInstitut für Mathematik,
Bonn, Germany by Conference on Algebraic and Topological Dynamics(
Book
)
6 editions published in 2005 in English and held by 188 WorldCat member libraries worldwide
6 editions published in 2005 in English and held by 188 WorldCat member libraries worldwide
Quantum groups and noncommutative geometry by
I︠U︡. I Manin(
Book
)
13 editions published between 1988 and 1991 in English and held by 179 WorldCat member libraries worldwide
13 editions published between 1988 and 1991 in English and held by 179 WorldCat member libraries worldwide
Selected papers of Yu. I. Manin by
I︠U︡. I Manin(
Book
)
16 editions published in 1996 in English and held by 149 WorldCat member libraries worldwide
16 editions published in 1996 in English and held by 149 WorldCat member libraries worldwide
Algebra, arithmetic, and geometry : in honor of Yu. I. Manin by
Yuri Tschinkel(
Book
)
13 editions published in 2009 in English and held by 135 WorldCat member libraries worldwide
The two volumes of "Algebra, Arithmetic, and Geometry: In Honor of Y.I. Manin" are composed of invited expository articles and extensions detailing Manin's contributions to the subjects, and are in celebration of his 70th birthday. The wellrespected and distinguished contributors include: Behrend, Berkovich, Bost, Bressler, Calaque, Carlson, ChambertLoir, Colombo, Connes, Consani, Dabrowski, Deninger, Dolgachev, Donaldson, Ekedahl, Elsenhans, Enriques, Etingof, Fock, Friedlander, Geemen, Getzler, Goncharov, Harris, Iskovskikh, Jahnel, Kaledin, Kapranov, Katz, Kaufmann, Kollar, Kont
13 editions published in 2009 in English and held by 135 WorldCat member libraries worldwide
The two volumes of "Algebra, Arithmetic, and Geometry: In Honor of Y.I. Manin" are composed of invited expository articles and extensions detailing Manin's contributions to the subjects, and are in celebration of his 70th birthday. The wellrespected and distinguished contributors include: Behrend, Berkovich, Bost, Bressler, Calaque, Carlson, ChambertLoir, Colombo, Connes, Consani, Dabrowski, Deninger, Dolgachev, Donaldson, Ekedahl, Elsenhans, Enriques, Etingof, Fock, Friedlander, Geemen, Getzler, Goncharov, Harris, Iskovskikh, Jahnel, Kaledin, Kapranov, Katz, Kaufmann, Kollar, Kont
Arithmetic and geometry around quantization by
Özgür Ceyhan(
Book
)
13 editions published in 2010 in English and held by 104 WorldCat member libraries worldwide
In recent decades, quantization has led to interesting applications in various mathematical branches. This volume, comprised of research and survey articles, discusses key topics, including symplectic and algebraic geometry, representation theory, quantum groups, the geometric Langlands program, quantum ergodicity, and noncommutative geometry. A wide range of topics related to quantization are covered,giving a glimpse of the broad subject. The articlesare written by distinguished mathematicians in the fieldand reflect subsequent developments followingthe Arithmetic and Geometry around Quantization conference held in Istanbul. List of Contributors: S. Akbulut R. Hadani S. Arkhipov K. Kremnizer Ö. Ceyhan S. Mahanta E. Frenkel S. Salur K. FukayaG. Ben Simon D. GaitsgoryW. van Suijlekom S. Gurevich
13 editions published in 2010 in English and held by 104 WorldCat member libraries worldwide
In recent decades, quantization has led to interesting applications in various mathematical branches. This volume, comprised of research and survey articles, discusses key topics, including symplectic and algebraic geometry, representation theory, quantum groups, the geometric Langlands program, quantum ergodicity, and noncommutative geometry. A wide range of topics related to quantization are covered,giving a glimpse of the broad subject. The articlesare written by distinguished mathematicians in the fieldand reflect subsequent developments followingthe Arithmetic and Geometry around Quantization conference held in Istanbul. List of Contributors: S. Akbulut R. Hadani S. Arkhipov K. Kremnizer Ö. Ceyhan S. Mahanta E. Frenkel S. Salur K. FukayaG. Ben Simon D. GaitsgoryW. van Suijlekom S. Gurevich
Homological algebra by
S. I Gelʹfand(
Book
)
10 editions published between 1994 and 1999 in English and held by 102 WorldCat member libraries worldwide
This book, the first printing of which was published as volume 38 of the Encyclopaedia of Mathematical Sciences, presents a modern approach to homological algebra, based on the systematic use of the terminology and ideas of derived categories and derived functors. The book contains applications of homological algebra to the theory of sheaves on topological spaces, to Hodge theory, and to the theory of modules over rings of algebraic differential operators (algebraic Dmodules). The authors Gelfand and Manin explain all the main ideas of the theory of derived categories. Both authors are wellknown researchers and the second, Manin, is famous for his work in algebraic geometry and mathematical physics. The book is an excellent reference for graduate students and researchers in mathematics and also for physicists who use methods from algebraic geometry and algebraic topology
10 editions published between 1994 and 1999 in English and held by 102 WorldCat member libraries worldwide
This book, the first printing of which was published as volume 38 of the Encyclopaedia of Mathematical Sciences, presents a modern approach to homological algebra, based on the systematic use of the terminology and ideas of derived categories and derived functors. The book contains applications of homological algebra to the theory of sheaves on topological spaces, to Hodge theory, and to the theory of modules over rings of algebraic differential operators (algebraic Dmodules). The authors Gelfand and Manin explain all the main ideas of the theory of derived categories. Both authors are wellknown researchers and the second, Manin, is famous for his work in algebraic geometry and mathematical physics. The book is an excellent reference for graduate students and researchers in mathematics and also for physicists who use methods from algebraic geometry and algebraic topology
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Related Identities
 Panchishkin, A. A. (Alekseĭ Alekseevich)
 Gelʹfand, S. I. (Sergeĭ Izrailevich) Author
 Koblitz, Neal 1948 Translator Author
 Zilber, Boris
 Tschinkel, Yuri Editor
 Marcolli, Matilde Author Editor
 Zarhin, Yuri 1951 Editor
 Ceyhan, Özgür Author Editor
 Kostrikin, A. I. (Alekseĭ Ivanovich) Author Editor
 Шафаревич, И. Р (Игорь Ростиславович) 1923 Editor
Useful Links
Associated Subjects
Algebra Algebra, Homological Algebraic number theory Algebraic topology Algebras, Linear Arithmetic Categories (Mathematics) Data encryption (Computer science) Dmodules Gauge fields (Physics) Geometric quantization Geometry Geometry, Algebraic Geometry, Differential Global analysis (Mathematics) Global differential geometry Group theory Homology theory Hopf algebras Ktheory Logic Logic, Symbolic and mathematical Mathematical physics Mathematicians Mathematics Moduli theory Noncommutative differential geometry Noncommutative rings Nuclear physics Number theory Particles (Nuclear physics) Physics Quantum field theory Quantum groups Quantum theory Russia Surfaces, Cubic Symplectic manifolds Topological algebras Topological dynamics Transcendental numbers
Alternative Names
Manin, I︠U︡ I
Manin, I︠U︡. I. 1937
Manin, I︠U︡riĭ Ivanovich
Manin, J. 1937
Manin, J. I.
Manin, J.I. 1937
Manin, Ju. I.
Manin, Ju. I. 1937
Manin , Jurii Ivanovic
Manin, Jurij I.
Manin, Jurij I. 1937
Manin, Jurij Ivanovič
Manin, Jurij Ivanovič 1937
Manin, Jurij Ivanovič. [t]
Manin, Jurij Iwanowitsch 1937
Manin, . I.
Manin, Y.
Manin, Y. 1937
Manin, Y. I. 1937
Manin , Yu. I.
Manin, Yu.I. 1937
Manin, Yu. I. (Yurij I.)
Manin, Yuri.
Manin , Yuri I.
Manin, Yuri I. 1936
Manin, Yuri I. 1937
Manin, Yuri Ivanovič
Manin Yuri Ivanovic 1937....
Manin , Yuri Ivanovich
Manin, Yuri Ivanovich 1937
Manin, Yurii Ivanovich.
Manin Yurii Ivanovich 1937.....
Manin, Yurij I.
Manin, Yurij I. 1937
Yuri I. Manin RussianGerman mathematician
Yuri Manin
Yuri Manin Duits wiskundige
Yuri Manin matematico russo
Yuri Manin russischer Mathematiker und Direktor am MaxPlanckInstitut fr Mathematik in Bonn
Yuri Manin tysk matematikar
Yuri Manin tysk matematiker
Манин, Ю. И..
Манин, Юрий Иванович
Манин Юрий Иванович 1937....
Манин, Юрий Иванович российский математик, алгебраический геометр
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