ISBN-10:
3764327421
ISBN-13:
9783764327422
Pub. Date:
08/29/1996
Publisher:
Birkh�user Basel
Compact Riemann Surfaces / Edition 1

Compact Riemann Surfaces / Edition 1

by R. Narasimhan
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Product Details

ISBN-13: 9783764327422
Publisher: Birkh�user Basel
Publication date: 08/29/1996
Series: Lectures in Mathematics. ETH Z�rich
Edition description: 1992
Pages: 122
Product dimensions: 7.01(w) x 10.00(h) x 0.01(d)

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 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 ?.

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