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Algebraic Curves and One-Dimensional Fields
About this Title
Fedor Bogomolov, New York University – Courant Institute of Mathematical Sciences, New York, NY and Tihomir Petrov, New York University – Courant Institute of Mathematical Sciences, New York, NY
Publication: Courant Lecture Notes
Publication Year:
2002; Volume 8
ISBNs: 978-0-8218-2862-5 (print); 978-1-4704-3109-9 (online)
DOI: https://doi.org/10.1090/cln/008
MathSciNet review: MR1932515
MSC: Primary 14H05; Secondary 13A18, 14-01
Table of Contents
Front/Back Matter
Chapters
- Chapter 1. Algebraic Preliminaries
- Chapter 2. From algebra to geometry
- Chapter 3. Geometry of dimension one
- Chapter 4. Divisors and line bundles
- Chapter 5. Vector bundles, coherent sheaves, and cohomology
- Chapter 6. Vector bundles on $\mathbb {P}^{1}$
- Chapter 7. General theory of curves
- Chapter 8. Elliptic curves
- Chapter 9. The Riemann-Roch theorem
- Chapter 10. Curves over arithmetic fields