Generalizations of Thomae's Formula for Zn Curves (Developments in Mathematics, 21, Band 21) - Hardcover

Buch 14 von 70: Developments in Mathematics

Farkas, Hershel M.; Zemel, Shaul

 
9781441978462: Generalizations of Thomae's Formula for Zn Curves (Developments in Mathematics, 21, Band 21)
Hardcover
ISBN 10: 1441978461 ISBN 13: 9781441978462
Verlag: Springer, 2010

Inhaltsangabe

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.

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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., the Zn curves, and thereafter focuses on how to prove the Thomae formulae, which give a relation between the algebraic parameters of the Zn curve, and the theta constants associated with the Zn curve.

Graduate students in mathematics will benefit from the classical material, connecting Riemann surfaces, algebraic curves, and theta functions, while young researchers, whose interests are related to complex analysis, algebraic geometry, and number theory, will find new rich areas to explore. Mathematical physicists and physicists with interests also in conformal field theory will surely appreciate the beauty of this subject.

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Verlag
Springer
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
1441978461
ISBN 13 
9781441978462
Einband
Gebundene Ausgabe
Anzahl der Seiten
371
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Weitere beliebte Ausgaben desselben Titels

9781461427582: Generalizations of Thomae's Formula for Zn Curves (Developments in Mathematics, Band 21)

Vorgestellte Ausgabe

ISBN 10:  1461427584 ISBN 13:  9781461427582
Verlag: Springer, 2012
Softcover