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Compact Riemann Surfaces
von R. NarasimhanInhaltsverzeichnis
- 1. Algebraic functions.
- 2. Riemann surfaces.
- 3. The sheaf of germs of holomorphic functions.
- 4. The Riemann surface of an algebraic function.
- 5. Sheaves.
- 6. Vector bundles, line bundles and divisors.
- 7. Finiteness theorems.
- 8. The Dolbeault isomorphism.
- 9. Weyl’s lemma and the Serre duality theorem.
- 10. The Riemann-Roch theorem and some applications.
- 11. Further properties of compact Riemann surfaces.
- 12. Hyperelliptic curves and the canonical map.
- 13. Some geometry of curves in projective space.
- 14. Bilinear relations.
- 15. The Jacobian and Abel’s theorem.
- 16. The Riemann theta function.
- 17. The theta divisor.
- 18. Torelli’s theorem.
- 19. Riemann’s theorem on the singularities of ?.