Some properties of second order theta functions on Prym varieties
| dc.creator | Izadi, E. | |
| dc.creator | Pauly, C. | |
| dc.date | 1999-04-01 | |
| dc.date | 1999-09-09 | |
| dc.date.accessioned | 2026-07-07T05:28:35Z | |
| dc.date.available | 2026-07-07T05:28:35Z | |
| dc.description | Let $P \cup P'$ be the two component Prym variety associated to an étale double cover $\tilde{C} \to C$ of a non-hyperelliptic curve of genus $g \geq 6$ and let $|2Ξ_0|$ and $|2Ξ_0'|$ be the linear systems of second order theta divisors on $P$ and $P'$ respectively. The component $P'$ contains canonically the Prym curve $\tilde{C}$. We show that the base locus of the subseries of divisors containing $\tilde{C} \subset P'$ is scheme-theoretically the curve $\tilde{C}$. We also prove canonical isomorphisms between some subseries of $|2Ξ_0|$ and $|2Ξ_0'|$ and some subseries of second order theta divisors on the Jacobian of $C$. | |
| dc.description | references added | |
| dc.identifier | https://arxiv.org/abs/math/9904001 | |
| dc.identifier | http://arxiv.org/abs/math/9904001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78311 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H42; 14H40 (Primary) 14H60 (Secondary) | |
| dc.title | Some properties of second order theta functions on Prym varieties | |
| dc.type | text |