Dolgachev, I. (Igor V.)
Overview
Works:  19 works in 120 publications in 5 languages and 2,194 library holdings 

Genres:  Conference proceedings Biography 
Roles:  Author, Editor, Dedicatee, Honoree 
Classifications:  QA3, 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
)
25 editions published between 1982 and 2008 in 3 languages and held by 509 WorldCat member libraries worldwide
25 editions published between 1982 and 2008 in 3 languages and held by 509 WorldCat member libraries worldwide
Algebraic geometry : proceedings of the USUSSR symposium held in Chicago, June 20July 14, 1989
by
Spencer Bloch(
Book
)
8 editions published in 1991 in English and held by 421 WorldCat member libraries worldwide
8 editions published in 1991 in English and held by 421 WorldCat member libraries worldwide
Lectures on invariant theory
by
I Dolgachev(
Book
)
18 editions published between 2002 and 2004 in English and held by 336 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
18 editions published between 2002 and 2004 in English and held by 336 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
)
14 editions published in 1989 in English and Italian and held by 273 WorldCat member libraries worldwide
14 editions published in 1989 in English and Italian and held by 273 WorldCat member libraries worldwide
Classical algebraic geometry a modern view
by
I Dolgachev(
Book
)
10 editions published in 2012 in English and held by 233 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"
10 editions published in 2012 in English and held by 233 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"
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
)
8 editions published in 2007 in English and held by 197 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."BOOK JACKET
8 editions published in 2007 in English and held by 197 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."BOOK JACKET
Point sets in projective spaces and theta functions
by
I Dolgachev(
Book
)
12 editions published between 1988 and 1989 in English and Italian and held by 158 WorldCat member libraries worldwide
12 editions published between 1988 and 1989 in English and Italian and held by 158 WorldCat member libraries worldwide
Variation of geometric invariant theory quotients
by
I Dolgachev(
Book
)
3 editions published in 1998 in English and held by 18 WorldCat member libraries worldwide
3 editions published in 1998 in English and held by 18 WorldCat member libraries worldwide
Introduction to geometric invariant theory
by
I Dolgachev(
Book
)
7 editions published in 1994 in English and held by 14 WorldCat member libraries worldwide
7 editions published in 1994 in English and held by 14 WorldCat member libraries worldwide
Enriques surfaces
by
François R Cossec(
Book
)
2 editions published in 1989 in Undetermined and held by 12 WorldCat member libraries worldwide
2 editions published in 1989 in Undetermined and held by 12 WorldCat member libraries worldwide
Enriques surfaces
by
François R Cossec(
Book
)
3 editions published in 1989 in English and Undetermined and held by 7 WorldCat member libraries worldwide
3 editions published in 1989 in English and Undetermined and held by 7 WorldCat member libraries worldwide
Variation of geometric invariant theory quotients. Appendix : an example of a thick wall / Nicolas Ressayre [u.a.]
by
I Dolgachev(
Book
)
2 editions published in 1998 in French and English and held by 6 WorldCat member libraries worldwide
2 editions published in 1998 in French and English and held by 6 WorldCat member libraries worldwide
Algebraičeskie gruppy i polâ klassov
by
JeanPierre Serre(
Book
)
2 editions published in 1968 in Russian and held by 2 WorldCat member libraries worldwide
2 editions published in 1968 in Russian and held by 2 WorldCat member libraries worldwide
Algebraic geometry : KoreaJapan Conference in honor of Igor Dolgachev's 60th birthday
(
Book
)
1 edition published in 2007 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2007 in English and held by 2 WorldCat member libraries worldwide
Algebraic geometry : proceedings of the KoreaJapan Conference on Algebraic Geometry 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
)
1 edition published in 2006 in English and held by 2 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."BOOK JACKET
1 edition published in 2006 in English and held by 2 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."BOOK JACKET
Algebraic geometry : proceedings of the Third Midwest algebraic Conference held at the University of Michigan, Ann Arbor, 1981
(
Book
)
1 edition published in 1983 in English and held by 1 WorldCat member library worldwide
1 edition published in 1983 in English and held by 1 WorldCat member library worldwide
Galois cohomology
by
JeanPierre Serre(
Book
)
1 edition published in 1968 in Russian and held by 1 WorldCat member library 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
1 edition published in 1968 in Russian and held by 1 WorldCat member library 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
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
Hilbert
by
Constance Reid(
Book
)
1 edition published in 1977 in Russian and held by 1 WorldCat member library 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
1 edition published in 1977 in Russian and held by 1 WorldCat member library 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
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Related Identities
 Bloch, Spencer Author Editor
 Fulton, William 1939
 Cossec, François R. Author
 Keum, JongHae 1957 Editor
 Kondō, Shigeyuki 1958 Editor
 Ortland, David
 SpringerLink (Service en ligne)
 USUSSR Algebraic Geometry Symposium
 Midwest Algebraic Geometry Conference
 Midwest Algebraic Geometry Conference (3, 1981, Ann Arbor, Mich.)
Useful Links
Associated Subjects
Algebra Algebra, Homological Algebraic number theory Differential equations, Partial Diophantine analysis Diophantine approximation Enriques surfaces Functions, Theta Galois theory Geometry, Algebraic Geometry, Differential Germany Group theory Homology theory Invariants Linear algebraic groups Mathematicians Mathematics Modules (Algebra) Number theory padic fields Point set theory Projective spaces Shimura varieties Topology