Algebraic Curves and One-Dimensional Fields (Courant Lecture Notes) - Softcover

Fedor Bogomolov; Tihomir Petrov

 
9780821828625: Algebraic Curves and One-Dimensional Fields (Courant Lecture Notes)
Softcover
ISBN 10: 0821828622 ISBN 13: 9780821828625
Publisher: Amer Mathematical Society, 2002

Synopsis

Algebraic curves have many special properties that make their study particularly rewarding. As a result, curves provide a natural introduction to algebraic geometry. In this book, the authors also bring out aspects of curves that are unique to them and emphasize connections with algebra.

This text covers the essential topics in the geometry of algebraic curves, such as line bundles and vector bundles, the Riemann-Roch Theorem, divisors, coherent sheaves, and zeroth and first cohomology groups. The authors make a point of using concrete examples and explicit methods to ensure that the style is clear and understandable.

Several chapters develop the connections between the geometry of algebraic curves and the algebra of one-dimensional fields. This is an interesting topic that is rarely found in introductory texts on algebraic geometry.

This book makes an excellent text for a first course for graduate students.

"synopsis" may belong to another edition of this title.

Publisher
Amer Mathematical Society
Publication date
2002
Language
English
ISBN 10 
0821828622
ISBN 13 
9780821828625
Binding
Paperback
Number of pages
214