Compact Riemann Surfaces von R. Narasimhan | ISBN 9783764327422

Compact Riemann Surfaces

von R. Narasimhan
Buchcover Compact Riemann Surfaces | R. Narasimhan | EAN 9783764327422 | ISBN 3-7643-2742-1 | ISBN 978-3-7643-2742-2

Compact Riemann Surfaces

von R. Narasimhan

Inhaltsverzeichnis

  • 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 ?.