Riemann surfaces
This is an authoritative but accessible text on one dimensional complex manifolds or Riemann surfaces. Dealing with the main results on Riemann surfaces from a variety of points of view, the book pulls together materials from global analysis, topology and algebraic geometry.
Read More ↓Title Statements
- Full title :Riemann surfaces / Simon Donaldson.
Summary
This is an authoritative but accessible text on one dimensional complex manifolds or Riemann surfaces. Dealing with the main results on Riemann surfaces from a variety of points of view, the book pulls together materials from global analysis, topology and algebraic geometry.
Read More ↓Edition Statements
- Publication Date:2011.
Publication Statements
- Publisher(s):Oxford University Press
- Place of Publication:Oxford
- Language:eng
- Publication Date:2011.
The Physical Object
- Description:xiii, 286 pages : : illustrations ; : 24 cm.
Edition Identifiers
- ISBN:9780198526391, 0198526393, 9780199606740, 0199606749
- oclc:ocn694832814
- LC Classification:QA333
- Dewey Decimal:515.9/3
Table of Contents
I Preliminaries -- 1. Holomorphic Functions -- 2. Surface Topology -- II Basic Theory -- 3. Basic Definitions -- 4. Maps between Riemann Surfaces -- 5. Calculus on Surfaces -- 6. Elliptic functions and integrals -- 7. Applications of the Euler characteristic -- III Deeper Theory -- 8. Meromorphic Functions and the Main Theorem for Compact Riemann Surfaces -- 9. Proof of the Main Theorem -- 10. The Uniformisation Theorem -- IV Further Developments -- 11. Contrasts in Riemann Surface Theory -- 12. Divisors, Line Bundles and Jacobians -- 13. Moduli and Deformations -- 14. Mappings and Moduli -- 15. Ordinary Differential Equations -- Bibliography -- Index.
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