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; it pulls together material from global analysis, topology, and algebraic geometry, and covers the essential mathematical methods andtools. INDICE: I Preliminaries; 1: Holomorphic Functions; 2: Surface Topology; IIBasic 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 MainTheorem 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
- ISBN: 978-0-19-960674-0
- Editorial: Oxford University
- Encuadernacion: Rústica
- Páginas: 304
- Fecha Publicación: 01/03/2011
- Nº Volúmenes: 1
- Idioma: Inglés