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.
- ISBN13 9783031101441
- Publish Date 20 September 2022
- Publish Status Forthcoming
- Publish Country CH
- Imprint Springer International Publishing AG
- Edition 1st ed. 2022
- Format Paperback
- Pages 216
- Language English