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Algebraic Curves and Riemann Surfaces
About this Title
Rick Miranda, Colorado State University, Fort Collins, CO
Publication: Graduate Studies in Mathematics
Publication Year:
1995; Volume 5
ISBNs: 978-0-8218-0268-7 (print); 978-1-4704-1140-4 (online)
DOI: https://doi.org/10.1090/gsm/005
MathSciNet review: MR1326604
MSC: Primary 14Hxx; Secondary 14-01, 30F99
This volume is not part of this online collection.
Table of Contents
Chapters
- Chapter I. Riemann surfaces: Basic definitions
- Chapter II. Functions and maps
- Chapter III. More examples of Riemann surfaces
- Chapter IV. Integration on Riemann surfaces
- Chapter V. Divisors and meromorphic functions
- Chapter VI. Algebraic curves and the Riemann-Roch theorem
- Chapter VII. Applications of Riemann-Roch
- Chapter VIII. Abel’s Theorem
- Chapter IX. Sheaves and Čech cohomology
- Chapter X. Algebraic sheaves
- Chapter XI. Invertible sheaves, line bundles, and $\check {H}^1$