Zariski, Oscar 18991986
Overview
Works:  95 works in 674 publications in 6 languages and 6,716 library holdings 

Roles:  Author, Honoree, Translator, Editor, Dedicatee 
Classifications:  QA3, 516.35 
Publication Timeline
.
Most widely held works about
Oscar Zariski
 The unreal life of Oscar Zariski by Carol Parikh( )
 Zariski geometries : geometry from the logician's point of view by Boris Zilber( Book )
 Oscar Zariski and his work by David Mumford( Visual )
 Papers of Oscar Zariski by Oscar Zariski( )
 Zariski, Oscar( )
 {Papers} by France) Institut des hautes études scientifiques (Paris( Book )
 Oscar Zariski (24 April 18994 July 1986) by Garrett Birkhoff( Book )
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Most widely held works by
Oscar Zariski
Commutative algebra by
Oscar Zariski(
Book
)
174 editions published between 1958 and 1991 in 4 languages and held by 1,568 WorldCat member libraries worldwide
This second volume of our treatise on commutative algebra deals largely with three basic topics, which go beyond the more or less classical material of volume I and are on the whole of a more advanced nature and a more recent vintage. These topics are: (a) valuation theory; (b) theory of polynomial and power series rings (including generalizations to graded rings and modules); (c) local algebra. Because most of these topics have either their source or their best motivation in algebraic geom etry, the algebrogeometric connections and applications of the purely algebraic material are constantly stressed and abundantly scattered through out the exposition. Thus, this volume can be used in part as an introduc tion to some basic concepts and the arithmetic foundations of algebraic geometry. The reader who is not immediately concerned with geometric applications may omit the algebrogeometric material in a first reading (see" Instructions to the reader," page vii), but it is only fair to say that many a reader will find it more instructive to find out immediately what is the geometric motivation behind the purely algebraic material of this volume. The first 8 sections of Chapter VI (including {sect} 5bis) deal directly with properties of places, rather than with those of the valuation associated with a place. These, therefore, are properties of valuations in which the value group of the valuation is not involved
174 editions published between 1958 and 1991 in 4 languages and held by 1,568 WorldCat member libraries worldwide
This second volume of our treatise on commutative algebra deals largely with three basic topics, which go beyond the more or less classical material of volume I and are on the whole of a more advanced nature and a more recent vintage. These topics are: (a) valuation theory; (b) theory of polynomial and power series rings (including generalizations to graded rings and modules); (c) local algebra. Because most of these topics have either their source or their best motivation in algebraic geom etry, the algebrogeometric connections and applications of the purely algebraic material are constantly stressed and abundantly scattered through out the exposition. Thus, this volume can be used in part as an introduc tion to some basic concepts and the arithmetic foundations of algebraic geometry. The reader who is not immediately concerned with geometric applications may omit the algebrogeometric material in a first reading (see" Instructions to the reader," page vii), but it is only fair to say that many a reader will find it more instructive to find out immediately what is the geometric motivation behind the purely algebraic material of this volume. The first 8 sections of Chapter VI (including {sect} 5bis) deal directly with properties of places, rather than with those of the valuation associated with a place. These, therefore, are properties of valuations in which the value group of the valuation is not involved
Algebraic surfaces by
Oscar Zariski(
Book
)
48 editions published between 1971 and 1995 in 3 languages and held by 705 WorldCat member libraries worldwide
The aim of the present monograph is to give a systematic exposition of the theory of algebraic surfaces emphasizing the interrelations between the various aspects of the theory: algebrogeometric, topological and transcendental. To achieve this aim, and still remain inside the limits of the allotted space, it was necessary to confine the exposition to topics which are absolutely fundamental. The present work therefore makes no claim to completeness, but it does, however, cover most of the central points of the theory. A presentation of the theory of surfaces, to be effective at all, must above all give the typical methods of proof used in the theory and their underlying ideas. It is especially true of algebraic geometry that in this domain the methods employed are at least as important as the results. The author has therefore avoided, as much as possible, purely formal accounts of results. The proofs given are of necessity condensed, for reasons of space, but no attempt has been made to condense them beyond the point of intelligibility. In many instances, due to exigencies of simplicity and rigor, the proofs given in the text differ, to a greater or less extent, from the proofs given in the original papers
48 editions published between 1971 and 1995 in 3 languages and held by 705 WorldCat member libraries worldwide
The aim of the present monograph is to give a systematic exposition of the theory of algebraic surfaces emphasizing the interrelations between the various aspects of the theory: algebrogeometric, topological and transcendental. To achieve this aim, and still remain inside the limits of the allotted space, it was necessary to confine the exposition to topics which are absolutely fundamental. The present work therefore makes no claim to completeness, but it does, however, cover most of the central points of the theory. A presentation of the theory of surfaces, to be effective at all, must above all give the typical methods of proof used in the theory and their underlying ideas. It is especially true of algebraic geometry that in this domain the methods employed are at least as important as the results. The author has therefore avoided, as much as possible, purely formal accounts of results. The proofs given are of necessity condensed, for reasons of space, but no attempt has been made to condense them beyond the point of intelligibility. In many instances, due to exigencies of simplicity and rigor, the proofs given in the text differ, to a greater or less extent, from the proofs given in the original papers
An introduction to the theory of algebraic surfaces by
Oscar Zariski(
Book
)
39 editions published between 1969 and 1972 in 3 languages and held by 676 WorldCat member libraries worldwide
39 editions published between 1969 and 1972 in 3 languages and held by 676 WorldCat member libraries worldwide
Collected papers by
Oscar Zariski(
Book
)
25 editions published between 1972 and 1979 in 3 languages and held by 478 WorldCat member libraries worldwide
25 editions published between 1972 and 1979 in 3 languages and held by 478 WorldCat member libraries worldwide
Algebraic surfaces by
Oscar Zariski(
Book
)
25 editions published between 1934 and 1971 in English and Undetermined and held by 347 WorldCat member libraries worldwide
25 editions published between 1934 and 1971 in English and Undetermined and held by 347 WorldCat member libraries worldwide
Introduction to the problem of minimal models in the theory of algebraic surfaces by
Oscar Zariski(
Book
)
15 editions published in 1958 in English and held by 254 WorldCat member libraries worldwide
15 editions published in 1958 in English and held by 254 WorldCat member libraries worldwide
Theory and applications of holomorphic functions on algebraic varieties over arbitrary ground fields by
Oscar Zariski(
Book
)
32 editions published between 1951 and 1972 in 3 languages and held by 250 WorldCat member libraries worldwide
32 editions published between 1951 and 1972 in 3 languages and held by 250 WorldCat member libraries worldwide
The moduli problem for plane branches by
Oscar Zariski(
Book
)
11 editions published between 1973 and 2006 in English and held by 210 WorldCat member libraries worldwide
"Moduli problems in algebraic geometry date back to Riemann's famous count of the 3g  3 parameters needed to determine a curve of genus g. In this book, Zariski studies the moduli space of curves of the same equisingularity class."Jacket
11 editions published between 1973 and 2006 in English and held by 210 WorldCat member libraries worldwide
"Moduli problems in algebraic geometry date back to Riemann's famous count of the 3g  3 parameters needed to determine a curve of genus g. In this book, Zariski studies the moduli space of curves of the same equisingularity class."Jacket
Le problème des modules pour les branches planes : cours donné au Centre de mathématiques de l'Ecole polytechnique by
Oscar Zariski(
Book
)
44 editions published between 1973 and 1986 in French and English and held by 183 WorldCat member libraries worldwide
44 editions published between 1973 and 1986 in French and English and held by 183 WorldCat member libraries worldwide
Contributions to algebraic geometry in honor of Oscar Zariski by
Michael Artin(
Book
)
8 editions published in 1979 in English and held by 117 WorldCat member libraries worldwide
8 editions published in 1979 in English and held by 117 WorldCat member libraries worldwide
An introduction to the theory of algebraic surfaces; [lectures] Harvard University, 195758 by
Oscar Zariski(
Book
)
15 editions published between 1957 and 2008 in English and held by 86 WorldCat member libraries worldwide
15 editions published between 1957 and 2008 in English and held by 86 WorldCat member libraries worldwide
Contributions to algebraic geometry : Impanga lecture notes by
Piotr Pragacz(
Book
)
5 editions published in 2012 in English and held by 74 WorldCat member libraries worldwide
The articles in this volume cover a broad range of topics in algebraic geometry: classical varieties, linear system, birational geometry, Minimal Model Program, moduli spaces, toric varieties, enumerative theory of singularities, equivariant cohomology and arithmetic questions
5 editions published in 2012 in English and held by 74 WorldCat member libraries worldwide
The articles in this volume cover a broad range of topics in algebraic geometry: classical varieties, linear system, birational geometry, Minimal Model Program, moduli spaces, toric varieties, enumerative theory of singularities, equivariant cohomology and arithmetic questions
Collected papers by
Oscar Zariski(
Book
)
15 editions published in 1972 in English and held by 73 WorldCat member libraries worldwide
15 editions published in 1972 in English and held by 73 WorldCat member libraries worldwide
Collected papers by
Oscar Zariski(
Book
)
18 editions published in 1973 in English and Italian and held by 62 WorldCat member libraries worldwide
18 editions published in 1973 in English and Italian and held by 62 WorldCat member libraries worldwide
Collected papers by
Oscar Zariski(
Book
)
16 editions published in 1978 in English and held by 53 WorldCat member libraries worldwide
16 editions published in 1978 in English and held by 53 WorldCat member libraries worldwide
Commutative algebra by
Oscar Zariski(
Book
)
18 editions published between 1958 and 1986 in 3 languages and held by 38 WorldCat member libraries worldwide
18 editions published between 1958 and 1986 in 3 languages and held by 38 WorldCat member libraries worldwide
What are numbers and what should they be? = (Was sind und was sollen die Zahlen?) by
Richard Dedekind(
Book
)
7 editions published in 1926 in Italian and held by 32 WorldCat member libraries worldwide
The nineteenth century saw the paradoxes and obscurities of eighteenthcentury calculus gradually replaced by the exact theorems and statements of rigorous analysis. It became clear that all analysis could be deduced from the properties of the real numbers. But what are the real numbers and why do they have the properties we claim they do? In this charming and influential book, Richard Dedekind (1831–1916), Professor at the Technische Hochschule in Braunschweig, showed how to resolve this problem starting from elementary ideas. His method of constructing the reals from the rationals (the Dedekind cut) remains central to this day and was generalised by Conway in his construction of the 'surreal numbers'. This reissue of Dedekind's 1888 classic is of the 'second, unaltered' 1893 edition
7 editions published in 1926 in Italian and held by 32 WorldCat member libraries worldwide
The nineteenth century saw the paradoxes and obscurities of eighteenthcentury calculus gradually replaced by the exact theorems and statements of rigorous analysis. It became clear that all analysis could be deduced from the properties of the real numbers. But what are the real numbers and why do they have the properties we claim they do? In this charming and influential book, Richard Dedekind (1831–1916), Professor at the Technische Hochschule in Braunschweig, showed how to resolve this problem starting from elementary ideas. His method of constructing the reals from the rationals (the Dedekind cut) remains central to this day and was generalised by Conway in his construction of the 'surreal numbers'. This reissue of Dedekind's 1888 classic is of the 'second, unaltered' 1893 edition
An introduction to the theory of algebraic surfaces by
Oscar Zariski(
)
in English and held by 25 WorldCat member libraries worldwide
in English and held by 25 WorldCat member libraries worldwide
Resolution of singularities : a research textbook in tribute to Oscar Zariski : based on the courses given at the working
week in Obergurgl, Austria, September 714, 1997 by
H Hauser(
Book
)
6 editions published in 2000 in English and held by 23 WorldCat member libraries worldwide
In September 1997, the Working Week on Resolution of Singularities was held at Obergurgl in the Tyrolean Alps. Its objective was to manifest the state of the art in the field and to formulate major questions for future research. The four courses given during this week were written up by the speakers and make up part I of this volume. They are complemented in part II by fifteen selected contributions on specific topics and resolution theories. The volume is intended to provide a broad and accessible introduction to resolution of singularities leading the reader directly to concrete research problems
6 editions published in 2000 in English and held by 23 WorldCat member libraries worldwide
In September 1997, the Working Week on Resolution of Singularities was held at Obergurgl in the Tyrolean Alps. Its objective was to manifest the state of the art in the field and to formulate major questions for future research. The four courses given during this week were written up by the speakers and make up part I of this volume. They are complemented in part II by fifteen selected contributions on specific topics and resolution theories. The volume is intended to provide a broad and accessible introduction to resolution of singularities leading the reader directly to concrete research problems
Holomorphic functions and linear systems by
Oscar Zariski(
Book
)
2 editions published in 1973 in English and held by 20 WorldCat member libraries worldwide
2 editions published in 1973 in English and held by 20 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Samuel, Pierre 1921 Author
 Parikh, Carol Author
 Cohn, James Alan Compiler Author Editor
 Cohen, Irvin Sol 1917 Other Collector
 Mumford, David 1937 Author Editor
 Zilber, Boris Author
 Artin, Michael Editor
 Teissier, Bernard Author of introduction Editor
 Samuel, Pierre Author
 Hironaka, Heisuke Author Editor
Useful Links
Associated Subjects
Abelian groups Algebra Algebra, Abstract Algebraic fields Algebraic functions Algebraic varieties Analytic functions Commutative algebra Curves, Algebraic Functions Geometry, Algebraic Holomorphic functions Mathematicians Mathematics MathematicsPhilosophy MathematicsStudy and teaching (Higher) Minimal surfaces Modules (Algebra) Number theory RiemannRoch theorems Riemann surfaces Russia Singularities (Mathematics) Surfaces Surfaces, Algebraic United States Zariski, Oscar, Zariski surfaces
Covers
Alternative Names
Oscar Zariski Amerikaans wiskundige
Oscar Zariski amerikansk matematikar
Oscar Zariski amerikansk matematiker
Oscar Zariski matemático estadounidense
Oscar Zariski matematico polacco
Oscar Zariski mathématicien américain
Oscar Zariski USamerikanischer Mathematiker
Zariski, O.
Zariski, O. 18991986
Zariski, Oscar, 1899
Zariski, Oskar 18991986
Zarisskij, O.
Zarisskij, Oskar.
Zaritsky, Ascher 18991986
Zaritsky, Oscar 18991986
Zaritsky, Oscher 18991986
Зарисский, О.
Оскар Зарисский математик
Оскар Зарицький
Оскар Зарыскі
اسکار زاریسکی ریاضیدان آمریکایی
أوسكار زاريسكي
أوسكار زاريسكي رياضياتي أمريكي
오스카 자리스키
オスカー・ザリスキ
奥斯卡·扎里斯基
Languages