Herbert Lange

(Author)

Decomposition of Jacobians by Prym Varieties (2022)Paperback - 2022, 25 November 2022

Decomposition of Jacobians by Prym Varieties (2022)
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Part of Series
Lecture Notes in Mathematics
Print Length
251 pages
Language
English
Publisher
Springer
Date Published
25 Nov 2022
ISBN-10
3031101448
ISBN-13
9783031101441

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.

Product Details

Authors:
Herbert LangeRubí E Rodríguez
Book Edition:
2022
Book Format:
Paperback
Country of Origin:
NL
Date Published:
25 November 2022
Dimensions:
23.39 x 15.6 x 1.42 cm
ISBN-10:
3031101448
ISBN-13:
9783031101441
Language:
English
Location:
Cham
Pages:
251
Publisher:
Weight:
381.02 gm

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