黎曼曲面讲义

《黎曼曲面讲义》是2000年世界图书出来自版公司出版的图书，作者是OttoForster。

• 书名 黎曼曲面讲义
• 作者 Otto Forster
• 出版社 世界图书出版公司
• 出版时间 2000年12月
• 页数 254 页

内容介绍

等起没双适处冲马得教系　　This book grew out of lectures on Riemann surfaces which the au绍县较作了thor gave at the universit眼把ies of Munich, Regensburg and Mun不南迫八重宜ster. Its aim is to give an introduction to this rich and beautiful subject, while presenting m来自ethods from the t360百科heory of complex manifolds which, in the special case of one co固激器损mplex variable, turn out to be particula帝批段州rly elementary ad transparent.

备注

　　本书为英文版!

目录

来自　　Preface

　360百科　Chapter 1 Coveri基刘研坏规华事际错ng Spaces

　　1. The Definition of Ri氢永短消好零错措候emann Surfaces

　　2. Elementary Properties of Holomorphic Mappings

　　3. Homoto候裂们情py of Curves. The 认吃Fundamental Gr攻甲酒oup

　　4. Branc脚进hed and Unbranche征木画语先令继材造d Coverings

　　5. The Universal 久Covering and Covering Transformations

　　6. Sheaves

　　7. Analytic Continuation

　　8. Algebraic Functions

　　9. Differential Forms

　　10. The Integration 侵分罗般集班伯投统冷of Differential Forms

　　11. Linear Differential Equations

　　Chapter 2 Compact Riemann Surfaces

　　站分责银丰吗号没急么片12. Cohomology Groups

　　13. Dolbeault''s Lemma

　　14. A 图水饭看交格投念显Finiteness Theorem

　　15. The Exact Cohomology Sequence

　　16. The Riemann-Roch Theor爱完星的越解五山信em

　　17. T武周报he Serre Duality Theorem

　　18. Functions and Differential Forms with Pre奏浓化夜冷影春临延scribed P朝粮工似规于四rincipal P了开程食福状合处arts

　　19. Harmonic Differential Forms

　　20. Abel''s Theorem

　　21. The Jacobi Inversion Problem

　　Chapter 3 Non-compact Riem女住跟益包绍促答置湖ann Surfaces

　　22. The Dirichlet Boundary Value Problem

　　23. C派江孩高球ountable Topology

　　24. Weyl's Lemma

　　25. The Runge Approximation Theorem

　　26. The Theorems of Mittag-Leffler and Weierstrass

　　27. The Riemann Mapping Theorem

　　28. Functions with Prescribed Summands of Automorphy

　　29. Line and Vector Bundles

　　30. The Triviality of Vector Bundles

　　31. The Riemann-Hilbert Problem

　　Appendix

　　A. Partitions of Unity

　　B. Topological Vector Spaces

　　References

　　Symbol Index

　　Author and Subject Index