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Decomposition of Jacobians by Prym v...

Lange, H.

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Decomposition of Jacobians by Prym varieties

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Decomposition of Jacobians by Prym varieties/ by Herbert Lange, Rubi E. Rodriguez.
作者:	Lange, H.
其他作者:	Rodriguez, Rubi E.
出版者:	Cham :Springer International Publishing : : 2022.,
面頁冊數:	xiii, 251 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer Nature eBook
標題:	Jacobians. -
電子資源:	https://doi.org/10.1007/978-3-031-10145-8
ISBN:	9783031101458

Decomposition of Jacobians by Prym varieties
Lange, H.

Decomposition of Jacobians by Prym varieties[electronic resource] /by Herbert Lange, Rubi E. Rodriguez. - Cham :Springer International Publishing :2022. - xiii, 251 p. :ill., digital ;24 cm. - Lecture notes in mathematics,v. 23101617-9692 ;. - Lecture notes in mathematics ;v. 2310..

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:

661654
Jacobians.

LC Class. No.: QA564

Dewey Class. No.: 516.35

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520 $a 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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