Book Details
Format
Paperback / Softback
Book Series
Lecture Notes in Mathematics
ISBN-10
3031101448
ISBN-13
9783031101441
Edition
1st ed. 2022
Publisher
Springer International Publishing AG
Imprint
Springer International Publishing AG
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Nov 25th, 2022
Print length
251 Pages
Weight
412 grams
Dimensions
15.50 x 23.20 x 1.90 cms
Product Classification:
Complex analysis, complex variablesAlgebraic geometry
Ksh 9,900.00
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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.
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.
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