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Generalizations of Thomae's Formula for Zn Curves

Specificaties
Gebonden, 354 blz. | Engels
Springer New York | 2011e druk, 2010
ISBN13: 9781441978462
Rubricering
Springer New York 2011e druk, 2010 9781441978462
Onderdeel van serie Developments in Mathematics
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Samenvatting

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.

Specificaties

ISBN13:9781441978462
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:354
Uitgever:Springer New York
Druk:2011

Inhoudsopgave

- Introduction.- 1. Riemann Surfaces.- 2. Z<sub>n</sub> Curves.- 3. Examples of Thomae Formulae.- 4. Thomae Formulae for Nonsingular Z<sub>n</sub> Curves.- 5. Thomae Formulae for Singular Z<sub>n</sub> Curves.-6. Some More Singular Z<sub>n</sub> 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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        Generalizations of Thomae's Formula for Zn Curves