Decomposition of Jacobians by Prym Varieties

Name: Decomposition of Jacobians by Prym Varieties
SKU: 35966117
Price: 172.99 AUD
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Paperback / softback

Series:

Lecture Notes in Mathematics

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Description

This monograph studies decompositions of the Jacobian of a smooth projective curve, induced by the action of a finite group, into a product of abelian subvarieties. The authors give a general theorem on how to decompose the Jacobian which works in many cases and apply it for several groups, as for groups of small order and some series of groups. In many cases, these components are given by Prym varieties of pairs of subcovers. As a consequence, new proofs are obtained for the classical bigonal and trigonal constructions which have the advantage to generalize to more general situations. Several isogenies between Prym varieties also result.

Author Biography:

Herbert Lange is a retired professor at the university of Erlangen-Nuremberg. His main research interests are abelian varieties and vector bundles on algebraic curves. He is the coauthor of several books, among them the Grundlehren volume "Complex Abelian Varieties" and for the series Progress in Mathematics, "Complex Tori". RUBÍ E. RODRÍGUEZ is Professor of Mathematics at Universidad de La Frontera and Director of the Geometry at the Frontier Research Center. Her research interests include moduli spaces of curves and abelian varieties, with special attention to the action of groups and algebras.

Release date Australia

November 25th, 2022

Author

Audience

Professional & Vocational

Edition

1st ed. 2022

Illustrations

67 Illustrations, black and white; XIII, 251 p. 67 illus.

Pages

251

Series

Lecture Notes in Mathematics

ISBN-13

9783031101441

Product ID

35966117

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