Generalizations of Thomae's Formula for Zn Curves

Hershel M. Farkas, Shaul Zemel (Autoren)

Buch | Softcover

354 Seiten

2012
Springer-Verlag New York Inc.
978-1-4614-2758-2 (ISBN)

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Previous publications on the generalization of the Thomae formulae to Zn curves have emphasized the theory's implications in mathematical physics and depended heavily on applied mathematical techniques. This book redevelops these previous results demonstrating how they can be derived directly from the basic properties of theta functions as functions on compact Riemann surfaces.

"Generalizations of Thomae's Formula for Zn Curves" includes several refocused proofs developed in a generalized context that is more accessible to researchers in related mathematical fields such as algebraic geometry, complex analysis, and number theory.

This book is intended for mathematicians with an interest in complex analysis, algebraic geometry or number theory as well as physicists studying conformal field theory.

- 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.

Reihe/Serie	Developments in Mathematics ; 21
Zusatzinfo	XVII, 354 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	algebraic curves • Algebraic Geometry • Branch Points • conformal field theory • Hypereliptic Curves • Riemann Surfaces • Theta Constants • theta functions • Thomae Formulae • Zn Curves
ISBN-10	1-4614-2758-4 / 1461427584
ISBN-13	978-1-4614-2758-2 / 9781461427582
Zustand	Neuware