Igor Dolgachev's Books

Lectures on Invariant Theory

By: Igor Dolgachev

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The primary goal of this 2003 book is to give a brief introduction to the main ideas of algebraic and geometric invariant theory. It 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 finite-generatedness of the algebra of invariants, the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples which originate in classical algebraic geometry. Based on lectures given at University of Michigan, Harvard University and Seoul National University, the book is written in an accessible style and contains many examples and exercises. A novel feature of the book is a discussion of possible linearizations of actions and the variation of quotients under the change of linearization. Also includes the construction of toric varieties as torus quotients of affine spaces.

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Page Count

244

Publisher

Cambridge University Press

Published Date

ISBN 10

0521525489

ISBN 13

9780521525480

Classical Algebraic Geometry

A Modern View

By: Igor V. Dolgachev

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Classical Algebraic Geometry

A Modern View

By: Igor V. Dolgachev

This detailed exposition makes classical algebraic geometry accessible to the modern mathematician.

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653

Publisher

Cambridge University Press

Published Date

ISBN 10

1107017653

ISBN 13

9781107017658

Classical Algebraic Geometry

A Modern View

By: Igor V. Dolgachev

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Classical Algebraic Geometry

A Modern View

By: Igor V. Dolgachev

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.

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653

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Cambridge University Press

Published Date

ISBN 10

1139560786

ISBN 13

9781139560788

Algebraic Geometry

Korea-Japan Conference in Honor of Igor Dolgachev's 60th Birthday, July 5-9, 2004, Korea Institute for Advanced Study, Seoul, Korea

By: Igor V. Dolgachev,JongHae Keum,Shigeyuki Kondō

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Algebraic Geometry

Korea-Japan Conference in Honor of Igor Dolgachev's 60th Birthday, July 5-9, 2004, Korea Institute for Advanced Study, Seoul, Korea

By: Igor V. Dolgachev,JongHae Keum,Shigeyuki Kondō

This volume contains the proceedings of the Korea-Japan 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, Mordell-Weil lattices, and automorphisms of hyperkahler manifolds. This book is an excellent and rich reference source for researchers.

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256

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821842013

ISBN 13

9780821842010

Algebraic Geometry

Korea-Japan Conference in Honor of Igor Dolgachev's 60th Birthday, July 5-9, 2004, Korea Institute for Advanced Study, Seoul, Korea

By: Igor V. Dolgachev,JongHae Keum,Shigeyuki Kondō

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Algebraic Geometry

Korea-Japan Conference in Honor of Igor Dolgachev's 60th Birthday, July 5-9, 2004, Korea Institute for Advanced Study, Seoul, Korea

By: Igor V. Dolgachev,JongHae Keum,Shigeyuki Kondō

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256

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821842013

ISBN 13

9780821842010

Relativistic Magnetrons

By: Igor Vintizenko

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Relativistic Magnetrons

By: Igor Vintizenko

The first experiments with relativistic magnetrons (PM), resulted in notable results, in the USA – Massachusetts Institute of Technology and the USSR - Institute of Applied Physics. Academy of Sciences of the USSR (Gorky), and the Nuclear Physics Research Institute at the Tomsk State University, hundreds of megawatts to several gigawatts with an efficiency of 10-30% were obtained. Relativistic high-frequency electronics has now become one of the fastest growing areas of scientific research. This reference is devoted to theoretical and experimental studies of relativistic magnetrons and is written by a leading expert who worked directly on these systems.

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