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Translations of Mathematical Monographs
Iwanami Series in Modern Mathematics
2003; 222 pp; softcover
List Price: US$54
Member Price: US$43.20
Order Code: MMONO/218
Algebraic Geometry 2: Sheaves and Cohomology - Kenji Ueno
Algebraic Geometry 1: From Algebraic Varieties to Schemes - Kenji Ueno
Conformal Field Theory with Gauge Symmetry - Kenji Ueno
Algebraic geometry plays an important role in several branches of science and technology. This is the last of three volumes by Kenji Ueno algebraic geometry. This, in together with Algebraic Geometry 1 and Algebraic Geometry 2, makes an excellent textbook for a course in algebraic geometry.
In this volume, the author goes beyond introductory notions and presents the theory of schemes and sheaves with the goal of studying the properties necessary for the full development of modern algebraic geometry. The main topics discussed in the book include dimension theory, flat and proper morphisms, regular schemes, smooth morphisms, completion, and Zariski's main theorem. Ueno also presents the theory of algebraic curves and their Jacobians and the relation between algebraic and analytic geometry, including Kodaira's Vanishing Theorem.
The book contains numerous exercises and problems with solutions. It is suitable for a graduate course on algebraic geometry or for independent study.
Graduate students and researchers interested in algebraic geometry.
"[It is] very likely to become one of the great international standard texts."
-- Zentralblatt MATH
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