Algebraic curves have many special properties that make their study rewarding. This work presents the various aspects of curves and emphasizes connections with algebra. It covers topics in the geometry of algebraic curves, such as line and vector bundles, the Riemann-Roch Theorem, divisors, coherent sheaves, and zeroth and first cohomology groups. Series: Courant Lecture Notes. Num Pages: 214 pages, bibliography, index. BIC Classification: PBF; PBK; PBMW. Category: (P) Professional & Vocational. Dimension: 252 x 181 x 12. Weight in Grams: 408. . 2002. Paperback. . . . . Books ship from the US and Ireland.

Codice articolo V9780821828625

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Dati bibliografici

Titolo: Algebraic Curves and One-Dimensional Fields (Courant Lecture Notes)
Editore: Amer Mathematical Society
Data di pubblicazione: 2002
Lingua: Inglese
ISBN 10: 0821828622
ISBN 13: 9780821828625
Rilegatura: Brossura
Condizione: New

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Riassunto

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.

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Book by Fedor Bogomolov Tihomir Petrov

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