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Decomposition of Jacobians by Prym Varieties

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Decomposition of Jacobians by Prym Varieties/ by Herbert Lange, Rubí E. Rodríguez.
Author:	Lange, Herbert.
other author:	Rodríguez, Rubí E.
Description:	XIII, 251 p. 67 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Algebraic geometry. -
Online resource:	https://doi.org/10.1007/978-3-031-10145-8
ISBN:	9783031101458

Decomposition of Jacobians by Prym Varieties
Lange, Herbert.

Decomposition of Jacobians by Prym Varieties[electronic resource] /by Herbert Lange, Rubí E. Rodríguez. - 1st ed. 2022. - XIII, 251 p. 67 illus.online resource. - Lecture Notes in Mathematics,23101617-9692 ;. - Lecture Notes in Mathematics,2144.

Introduction -- Preliminaries and basic results -- Finite covers of curves -- Covers of degree 2 and 3 -- Covers of degree 4 -- Some special groups and complete decomposabality -- Bibliography -- Index.

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.

ISBN: 9783031101458

Standard No.: 10.1007/978-3-031-10145-8doiSubjects--Topical Terms:

1255324
Algebraic geometry.

LC Class. No.: QA564-609

Dewey Class. No.: 516.35

Decomposition of Jacobians by Prym Varieties
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