Prym varieties and fourfold covers
| dc.creator | Recillas, Sevin | |
| dc.creator | Rodriguez, Rubi | |
| dc.date | 2003-03-12 | |
| dc.date.accessioned | 2026-07-07T04:55:59Z | |
| dc.date.available | 2026-07-07T04:55:59Z | |
| dc.description | We describe the isotypical decomposition of the Jacobian variety JW of the Galois extension W-->T of any fourfold cover of smooth connected irreducible projective complex curves X-->T, in terms of Prym's of intermediate covers. We also compute the degree of the isogenies involved and as a result we obtain new proofs of the bigonal and trigonal constructions. Furthermore, we give examples of families of Jacobians isogenous to a product of Jacobians and of families of Prym varieties isogenous to the product of elliptic curves. | |
| dc.description | 77 pages | |
| dc.identifier | https://arxiv.org/abs/math/0303155 | |
| dc.identifier | http://arxiv.org/abs/math/0303155 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66774 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H37, 14H40 | |
| dc.title | Prym varieties and fourfold covers | |
| dc.type | text |