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Riemann Surfaces by Way of Complex Analytic Geometry
About this Title
Dror Varolin, Stony Brook University, Stony Brook, NY
Publication: Graduate Studies in Mathematics
Publication Year:
2011; Volume 125
ISBNs: 978-0-8218-5369-6 (print); 978-1-4704-1186-2 (online)
DOI: https://doi.org/10.1090/gsm/125
MathSciNet review: MR2798295
MSC: Primary 30-01; Secondary 14H55, 30F99, 32C22, 32L05, 32W05
Table of Contents
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Front/Back Matter
Chapters
- Chapter 1. Complex analysis
- Chapter 2. Riemann surfaces
- Chapter 3. Functions on Riemann surfaces
- Chapter 4. Complex line bundles
- Chapter 5. Complex differential forms
- Chapter 6. Calculus on line bundles
- Chapter 7. Potential theory
- Chapter 8. Solving $\overline {\partial }$ with smooth data
- Chapter 9. Harmonic forms
- Chapter 10. Uniformization
- Chapter 11. Hörmander’s Theorem
- Chapter 12. Embedding Riemann surfaces
- Chapter 13. The Riemann-Roch Theorem
- Chapter 14. Abel’s Theorem