Decomposition of Jacobians by Prym - E-book

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Decomposition Of Jacobians By Prym Varieties - ENG

Herbert Lange; Rubí E. Rodríguez

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Sinopsis

ISBN:	9783031101458
Formato:	ePub
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Geometría algebraica
Año de publicación:	2022-11-24

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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