Algebraic Curves and One-dimensional Fields

Language: English

Published by American Mathematical Society, US, 2002

0821828622 / 9780821828625

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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.

Seller Inventory # LU-9780821828625

Title
Algebraic Curves and One-dimensional Fields
Author
Fedor Bogomolov, Tihomir Petrov
Publisher
American Mathematical Society, US
Publication year
2002
Condition
New
Binding
Paperback
Language
English
ISBN 10
0821828622
ISBN 13
9780821828625
Item weight
408 grams
Dimensions
17.15 x 1.27 x 24.13 cm

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