**Translations of Mathematical Monographs
Iwanami Series in Modern Mathematics**

2003; 222 pp; Softcover

MSC: Primary 14;

**Print ISBN: 978-0-8218-1358-4**

Product Code: MMONO/218

Product Code: MMONO/218

List Price: $54.00

Individual Member Price: $43.20

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#### Supplemental Materials

# Algebraic Geometry 3: Further Study of Schemes

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*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.

#### Readership

Graduate students and researchers interested in algebraic geometry.

#### Reviews & Endorsements

[It is] very likely to become one of the great international standard texts.

-- Zentralblatt MATH