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＜電子ブック＞
Decomposition of Jacobians by Prym Varieties / by Herbert Lange, Rubí E. Rodríguez
(Lecture Notes in Mathematics. ISSN:16179692 ; 2310)

版	1st ed. 2022.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2022
大きさ	XIII, 251 p. 67 illus : online resource
著者標目	*Lange, Herbert author Rodríguez, Rubí E author SpringerLink (Online service)
件　名	LCSH:Algebraic geometry LCSH:Functions of complex variables FREE:Algebraic Geometry FREE:Several Complex Variables and Analytic Spaces
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-031-10145-8

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