E-Book, Englisch, Band 21, 354 Seiten, eBook
Reihe: Developments in Mathematics
ISBN: 978-1-4419-7847-9
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
Previous publications on the generalization of the Thomae formulae to Z 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 Z 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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
- Introduction.- 1. Riemann Surfaces.- 2. Z Curves.- 3. Examples of Thomae Formulae.- 4. Thomae Formulae for Nonsingular Z Curves.- 5. Thomae Formulae for Singular Z Curves.-6. Some More Singular Z 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.
