Overview

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.

Full Product Details

Author:   Fedor Bogomolov ,  Tihomir Petrov
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   No. 8
Dimensions:   Width: 18.10cm , Height: 1.40cm , Length: 23.00cm
Weight:   0.408kg
ISBN:  

9780821828625

ISBN 10:   0821828622
Pages:   214
Publication Date:   30 October 2002
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Temporarily unavailable  
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