by Goro Kato
Algebraic geometry
- ISBN 13:
- 9780821813584
- author:
- by Goro Kato
- format:
- Paperback
- publisher:
- American Mathematical Society
- language:
- English
- Publication Year:
- 2003
- Pages:
- 222
- Dimensions:
- 140mm X 13mm
- Genre:
- Geometry - Algebraic
- Condition:
- New
- Availability:
- Item usually sent within 10 working days
Description
Algebraic geometry plays a significant role in various branches of science and technology. This volume, part of a three-part series by Kenji Ueno, presents advanced topics in algebraic geometry.
The author delves beyond introductory concepts to explore the theory of schemes and sheaves, with the aim of studying properties essential for modern algebraic geometry. Key topics include dimension theory, flat and proper morphisms, regular schemes, smooth morphisms, completion, and Zariski's main theorem.
Ueno also discusses the theory of algebraic curves and their Jacobians, as well as the relationship between algebraic and analytic geometry, including Kodaira's Vanishing Theorem. This volume is an excellent resource for a course in algebraic geometry or those seeking to deepen their understanding of the subject.