Generalizations of Thomae’s Formula for Zn Curves
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ISBN-13:
9781461427582
Veröffentl:
2012
Einband:
Paperback
Erscheinungsdatum:
27.12.2012
Seiten:
372
Autor:
Shaul Zemel
Gewicht:
563 g
Format:
235x155x21 mm
Serie:
21, Developments in Mathematics
Sprache:
Englisch
Beschreibung:
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.
The first monograph to study generalizations of the Thomae Formulae to Zn curves
- Introduction.- 1. Riemann Surfaces.- 2.ZnCurves.- 3. Examples of Thomae Formulae.- 4. Thomae Formulae for NonsingularZnCurves.- 5. Thomae Formulae for SingularZnCurves.-6. Some More SingularZnCurves.-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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