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Decomposition of Jacobians by Prym Varieties. 1st ed. 2022.
・ISBN 978-3-031-10144-1 paper EUR 64.99
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| 著者・編者 | Lange, Herbert / Rodriguez, Rubi E., |
|---|---|
| シリーズ | Lecture Notes in Mathematics |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2022 |
| ページ数 | 251 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-3581＞ |
解説
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.