Generalizations of Thomae's Formula for Zn Curves

This book provides a comprehensive overview of the theory of theta functions, as applied to compact Riemann surfaces, as well as the necessary background for understanding and proving the Thomae formulae. The exposition examines the properties of a particular class of compact Riemann surfaces, i.e.,...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Farkas, Hershel M. (Author), Zemel, Shaul (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: New York, NY : Springer New York : Imprint: Springer, 2011.
Edition:1st ed. 2011.
Series:Developments in Mathematics, 21
Subjects:
Algebraic geometry.
Functions of complex variables.
Special functions.
Number theory.
Algebraic Geometry.
Functions of a Complex Variable.
Several Complex Variables and Analytic Spaces.
Special Functions.
Number Theory.
Online Access:Texto Completo
Table of Contents:
  • - Introduction.- 1. Riemann Surfaces
  • 2. Zn Curves
  • 3. Examples of Thomae Formulae
  • 4. Thomae Formulae for Nonsingular Zn Curves
  • 5. Thomae Formulae for Singular Zn Curves.-6. Some More Singular Zn Curves.-Appendix A. Constructions and Generalizations for the Nonsingular and Singular Cases.-Appendix B. The Construction and Basepoint Change Formulae for the Symmetric Equation Case.-References.-List of Symbols.-Index.

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