Lectures on Riemann Surfaces (Princeton Mathematical Notes)

✍ Scribed by Robert C Gunning

Publisher: Princeton University Press
Year: 1966
Tongue: English
Leaves: 266
Series: Princeton mathematical notes 2
Category: Library

No coin nor oath required. For personal study only.

✦ Table of Contents

Title Page......Page 3
Copyright Page......Page 4
Preface......Page 5
Contents......Page 7
Some Frequently Used Symbols......Page 8
1. Fundamental definitions......Page 11
2. Sheaves......Page 24
3. Cohomology......Page 37
4. Divisors and line bundles......Page 58
5. Differential forms and Serre duality......Page 78
6. Proof of Serre's duality theorem......Page 90
7. Riemann-Roch theorem......Page 108
8. Picard and Jacobi varieties......Page 139
9. Uniformization......Page 174
10. Representations of Riemann surfaces......Page 230
Appendix: the topology of surfaces......Page 261
Index......Page 265

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