An Introduction to Riemann Surfaces

This textbook presents a unified approach to compact and noncompact Riemann surfaces from the point of view of the L² -method, a powerful technique used in the theory of several complex variables.  The work features a simple construction of a strictly subharmonic exhaustion function and a related co...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Napier, Terrence (Autor), Ramachandran, Mohan (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2012.
Edición:1st ed. 2012.
Colección:Cornerstones,
Temas:
Functions of complex variables.
Global analysis (Mathematics).
Manifolds (Mathematics).
Mathematical analysis.
Several Complex Variables and Analytic Spaces.
Global Analysis and Analysis on Manifolds.
Analysis.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preface
  • Introduction
  • Complex analysis in C
  • Riemann Surfaces and the L2 \delta-Method for Scalar-Valued Forms
  • The L2 \delta-Method in a Holomorphic Line Bundle
  • Compact Riemann Surfaces
  • Uniformization and Embedding of Riemann Surfaces.-Holomorphic Structures on Topological Surfaces
  • Background Material on Analysis in Rn and Hilbert Space Theory
  • Background Material on Linear Algebra
  • Background Material on Manifolds
  • Background Material on Fundamental Groups, Covering Spaces, and (Co)homology
  • Background Material on Sobolev Spaces and Regularity
  • References
  • Notation Index
  • Subject Index.

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