Dolgachev, I. (Igor V.)
Overview
Works:  20 works in 144 publications in 5 languages and 3,020 library holdings 

Genres:  Conference papers and proceedings Biography 
Roles:  Author, Editor, Honoree, Other, Dedicatee, dgs 
Classifications:  QA29.H5, B 
Publication Timeline
.
Most widely held works by
I Dolgachev
Algebraic geometry : proceedings of the Third Midwest Algebraic Geometry Conference held at the University of Michigan, Ann
Arbor, USA, November 1415, 1981 by
I Dolgachev(
Book
)
31 editions published between 1982 and 2008 in 3 languages and held by 432 WorldCat member libraries worldwide
31 editions published between 1982 and 2008 in 3 languages and held by 432 WorldCat member libraries worldwide
Algebraic geometry : proceedings of the USUSSR symposium held in Chicago, June 20July 14, 1989 by
Spencer Bloch(
Book
)
15 editions published in 1991 in English and held by 312 WorldCat member libraries worldwide
15 editions published in 1991 in English and held by 312 WorldCat member libraries worldwide
Lectures on invariant theory by
I Dolgachev(
Book
)
12 editions published between 2002 and 2004 in English and Undetermined and held by 277 WorldCat member libraries worldwide
This introduction to the main ideas of algebraic and geometric invariant theory assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for computation of invariants on the space of homogeneous forms, the problem of finitegeneratedness of the algebra of invariants, and the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples that originate in classical algebraic geometry. Written in an accessible style with many examples and exercises, the book offers a novel discussion of possible linearizations of actions and the variation of quotients under the change of linearization
12 editions published between 2002 and 2004 in English and Undetermined and held by 277 WorldCat member libraries worldwide
This introduction to the main ideas of algebraic and geometric invariant theory assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for computation of invariants on the space of homogeneous forms, the problem of finitegeneratedness of the algebra of invariants, and the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples that originate in classical algebraic geometry. Written in an accessible style with many examples and exercises, the book offers a novel discussion of possible linearizations of actions and the variation of quotients under the change of linearization
Enriques surfaces by
François R Cossec(
Book
)
18 editions published in 1989 in 3 languages and held by 274 WorldCat member libraries worldwide
This is the first of two volumes representing the current state of knowledge about Enriques surfaces which occupy one of the classes in the classification of algebraic surfaces. Recent improvements in our understanding of algebraic surfaces over fields of positive characteristic allowed us to approach the subject from a completely geometric point of view although heavily relying on algebraic methods. Some of the techniques presented in this book can be applied to the study of algebraic surfaces of other types. We hope that it will make this book of particular interest to a wider range of research mathematicians and graduate students. Acknowledgements. The undertaking of this project was made possible by the support of several institutions. Our mutual cooperation began at the University of Warwick and the Max Planck Institute of Mathematics in 1982/83. Most of the work in this volume was done during the visit of the first author at the University of Michigan in 19841986. The second author was supported during all these years by grants from the National Science Foundation
18 editions published in 1989 in 3 languages and held by 274 WorldCat member libraries worldwide
This is the first of two volumes representing the current state of knowledge about Enriques surfaces which occupy one of the classes in the classification of algebraic surfaces. Recent improvements in our understanding of algebraic surfaces over fields of positive characteristic allowed us to approach the subject from a completely geometric point of view although heavily relying on algebraic methods. Some of the techniques presented in this book can be applied to the study of algebraic surfaces of other types. We hope that it will make this book of particular interest to a wider range of research mathematicians and graduate students. Acknowledgements. The undertaking of this project was made possible by the support of several institutions. Our mutual cooperation began at the University of Warwick and the Max Planck Institute of Mathematics in 1982/83. Most of the work in this volume was done during the visit of the first author at the University of Michigan in 19841986. The second author was supported during all these years by grants from the National Science Foundation
Algebraic geometry : KoreaJapan Conference in honor of Igor Dolgachev's 60th birthday, July 59, 2004, Korea Institute for
Advanced Study, Seoul, Korea by KoreaJapan Conference on Algebraic Geometry(
Book
)
11 editions published between 2006 and 2007 in English and held by 195 WorldCat member libraries worldwide
"This volume contains the proceedings of the KoreaJapan Conference on Algebraic Geometry in honor of Igor Dolgachev on his sixtieth birthday. The articles in this volume explore a wide variety of problems that illustrate interactions between algebraic geometry and other branches of mathematics. Among the topics covered by this volume are algebraic curve theory, algebraic surface theory, moduli space, automorphic forms, MordellWeil lattices, and automorphisms of hyperkahler manifolds."Jacket
11 editions published between 2006 and 2007 in English and held by 195 WorldCat member libraries worldwide
"This volume contains the proceedings of the KoreaJapan Conference on Algebraic Geometry in honor of Igor Dolgachev on his sixtieth birthday. The articles in this volume explore a wide variety of problems that illustrate interactions between algebraic geometry and other branches of mathematics. Among the topics covered by this volume are algebraic curve theory, algebraic surface theory, moduli space, automorphic forms, MordellWeil lattices, and automorphisms of hyperkahler manifolds."Jacket
Point sets in projective spaces and theta functions by
I Dolgachev(
Book
)
14 editions published between 1988 and 1989 in English and Italian and held by 167 WorldCat member libraries worldwide
14 editions published between 1988 and 1989 in English and Italian and held by 167 WorldCat member libraries worldwide
Classical algebraic geometry : a modern view by
I Dolgachev(
Book
)
14 editions published in 2012 in English and held by 154 WorldCat member libraries worldwide
"Algebraic geometry has benefited enormously from the powerful general machinery developed in the latter half of the twentieth century. The cost has been that much of the research of previous generations is in a language unintelligible to modern workers, in particular, the rich legacy of classical algebraic geometry, such as plane algebraic curves of low degree, special algebraic surfaces, theta functions, Cremona transformations, the theory of apolarity and the geometry of lines in projective spaces. The author's contemporary approach makes this legacy accessible to modern algebraic geometers and to others who are interested in applying classical results. The vast bibliography of over 600 references is complemented by an array of exercises that extend or exemplify results given in the book"
14 editions published in 2012 in English and held by 154 WorldCat member libraries worldwide
"Algebraic geometry has benefited enormously from the powerful general machinery developed in the latter half of the twentieth century. The cost has been that much of the research of previous generations is in a language unintelligible to modern workers, in particular, the rich legacy of classical algebraic geometry, such as plane algebraic curves of low degree, special algebraic surfaces, theta functions, Cremona transformations, the theory of apolarity and the geometry of lines in projective spaces. The author's contemporary approach makes this legacy accessible to modern algebraic geometers and to others who are interested in applying classical results. The vast bibliography of over 600 references is complemented by an array of exercises that extend or exemplify results given in the book"
Variation of geometric invariant theory quotients by
I Dolgachev(
Book
)
5 editions published in 1998 in English and French and held by 24 WorldCat member libraries worldwide
5 editions published in 1998 in English and French and held by 24 WorldCat member libraries worldwide
Introduction to geometric invariant theory by
I Dolgachev(
Book
)
7 editions published in 1994 in English and held by 13 WorldCat member libraries worldwide
7 editions published in 1994 in English and held by 13 WorldCat member libraries worldwide
Enriques surfaces by
François R Cossec(
Book
)
in English and held by 5 WorldCat member libraries worldwide
in English and held by 5 WorldCat member libraries worldwide
Algebraic groups and class fields : translation of the French edition by
JeanPierre Serre(
Book
)
2 editions published in 1968 in Russian and held by 4 WorldCat member libraries worldwide
Of the Main Results  Algebraic Curves  Maps From a Curve to a Commutative Group  Singular Algebraic Curves  Generalized Jacobians  Class Field Theory  Group Extension and Cohomology  Bibliography  Supplementary Bibliography  Index
2 editions published in 1968 in Russian and held by 4 WorldCat member libraries worldwide
Of the Main Results  Algebraic Curves  Maps From a Curve to a Commutative Group  Singular Algebraic Curves  Generalized Jacobians  Class Field Theory  Group Extension and Cohomology  Bibliography  Supplementary Bibliography  Index
Galois cohomology by
JeanPierre Serre(
Book
)
2 editions published in 1968 in Russian and held by 4 WorldCat member libraries worldwide
This is an updated English translation of "Cohomologie Galoisienne", published more than 30 years ago as one of the very first Lecture Notes in Mathematics (LNM 5). It includes a reproduction of an influential paper of R. Steinberg, together with some new material and an expanded bibliography
2 editions published in 1968 in Russian and held by 4 WorldCat member libraries worldwide
This is an updated English translation of "Cohomologie Galoisienne", published more than 30 years ago as one of the very first Lecture Notes in Mathematics (LNM 5). It includes a reproduction of an influential paper of R. Steinberg, together with some new material and an expanded bibliography
Hilbert by
Constance Reid(
Book
)
3 editions published in 1977 in Russian and held by 3 WorldCat member libraries worldwide
If the life of any 20th century mathematician can be said to be a history of mathematics in his time, it is that of David Hilbert. To the enchanted young mathematicians and physicists who flocked to study with him in Gottingen before and between the World Wars, he seemed mathematics personified, the very air around him "scientifically electric." His remarkably prescient proposal in 1900 of twentythree problems for the coming century set the course of much subsequent mathematics and remains a feat that no scientist in any field has been able to duplicate. When he died, Nature remarked that there was scarcely a mathematician in the world whose work did not derive from that of Hilbert. Constance Reid's classic biography is a moving, nontechnical account of the passionate scientific life of this man  from the early days in Konigsberg, when his revolutionary work was dismissed as "theology," to the golden years in Gottingen before Hitler came to power and within a few months destroyed the entire Hilbert school. The Copernicus paperback edition makes this book available to new generations of mathematicians who know the name Hilbert, which is everywhere in mathematics, but do not know the man
3 editions published in 1977 in Russian and held by 3 WorldCat member libraries worldwide
If the life of any 20th century mathematician can be said to be a history of mathematics in his time, it is that of David Hilbert. To the enchanted young mathematicians and physicists who flocked to study with him in Gottingen before and between the World Wars, he seemed mathematics personified, the very air around him "scientifically electric." His remarkably prescient proposal in 1900 of twentythree problems for the coming century set the course of much subsequent mathematics and remains a feat that no scientist in any field has been able to duplicate. When he died, Nature remarked that there was scarcely a mathematician in the world whose work did not derive from that of Hilbert. Constance Reid's classic biography is a moving, nontechnical account of the passionate scientific life of this man  from the early days in Konigsberg, when his revolutionary work was dismissed as "theology," to the golden years in Gottingen before Hitler came to power and within a few months destroyed the entire Hilbert school. The Copernicus paperback edition makes this book available to new generations of mathematicians who know the name Hilbert, which is everywhere in mathematics, but do not know the man
Compositions and relations in the Cremona groups by
Susanna Zimmermann(
)
1 edition published in 2016 in English and held by 1 WorldCat member library worldwide
1 edition published in 2016 in English and held by 1 WorldCat member library worldwide
Algebraic geometry : USUSSR symposium : Papers(
Book
)
1 edition published in 1991 in English and held by 1 WorldCat member library worldwide
1 edition published in 1991 in English and held by 1 WorldCat member library worldwide
Enriques surfaces by
François R Cossec(
Book
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
Automorphisms of cluster algebras of rank 2(
)
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
We compute the automorphism group of the affine surfaces with the coor dinate ring isomorphic to a cluster algebra of rank 2
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
We compute the automorphism group of the affine surfaces with the coor dinate ring isomorphic to a cluster algebra of rank 2
ENRIQUES SURFACES by
François R Cossec(
)
in Undetermined and held by 1 WorldCat member library worldwide
in Undetermined and held by 1 WorldCat member library worldwide
Schur quadrics, cubic surfaces and rank 2 vector bundles over the projective plane by
Calif.) Mathematical Sciences Research Institute (Berkeley(
Book
)
2 editions published in 1993 in English and held by 1 WorldCat member library worldwide
2 editions published in 1993 in English and held by 1 WorldCat member library worldwide
Enriques surfaces by
François R Cossec(
Book
)
2 editions published in 1989 in English and held by 1 WorldCat member library worldwide
2 editions published in 1989 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Bloch, Spencer Other Author Editor
 Fulton, William 1939 Other Editor
 Cossec, François R. Author
 Keum, JongHae 1957 Editor
 Kondō, Shigeyuki 1958 Editor
 Ortland, David
 SpringerLink (Service en ligne)
 Midwest Algebraic Geometry Conference (3, 1981, Ann Arbor, Mich.)
 Midwest Algebraic Geometry Conference
 Hu, Yi
Useful Links
Associated Subjects
Algebra Algebra, Homological Algebraic number theory Class field theory Curves, Algebraic Differential equations, Partial Diophantine analysis Diophantine approximation Enriques surfaces Functions, Theta Galois cohomology Galois theory Geometry, Algebraic Geometry, Differential Germany Group theory Hilbert, David, Homology theory Invariants Linear algebraic groups Mathematicians Mathematics Modules (Algebra) Number theory padic fields Point set theory Projective spaces Science Set theory Shimura varieties Topology
Alternative Names
Dolgačev, I. V.
Dolgachev, I.
Dolgachev, I. 1944
Dolgachev, I. V.
Dolgachev, Igor.
Dolgachev, Igor 1944
Dolgachev, Igor V.
Igor Dolgachev
Igor Dolgachev American mathematician
Igor Dolgachev russischUSamerikanischer Mathematiker
Igor Dolgachev Russisch wiskundige
Igor Dolgatsjov
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