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Compact Riemann Surfaces
Posted on 2010-09-20
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More R. Narasimhan, "" Table of Contents 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 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 Download
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