內容介紹 | |
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出版社:世界圖書出版公司
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ISBN:9787510027390
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作者:(美)納拉辛漢
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頁數:120
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出版日期:2010-09-01
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印刷日期:2010-09-01
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包裝:平裝
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開本:16開
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版次:1
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印次:1
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這本《緊黎曼曲面》由美國Raghavan Narasimhan所著,內容是:These notes form the contents of a Nachdiplomvorlesung given at the Forschungs-institut ffir Mathematik of the Eidgen5ssische Technische Hochschule, Zfirich from November, 1984 to February, 1985. Prof. K. Chandrasekharan and Prof. Jiirgen Moser have encouraged me to write them up for inclusion in the series, published by Birkhauser, of notes of these courses at the ETH.
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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 θ References
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