Annual Member
| Author | Narasimhan, Raghavan. author |
|---|---|
| Title | Compact Riemann Surfaces [electronic resource] / by Raghavan Narasimhan |
| Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 1992 |
| Connect to | http://dx.doi.org/10.1007/978-3-0348-8617-8 |
| Descript | VI, 122 p. 2 illus. online resource |
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. Weylโs 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 Abelโs theorem -- 16. The Riemann theta function -- 17. The theta divisor -- 18. Torelliโs theorem -- 19. Riemannโs theorem on the singularities of ?
