Singularities of 2theta-divisors in the Jacobian
| dc.creator | Pauly, Christian | |
| dc.creator | Previato, Emma | |
| dc.date | 1998-03-05 | |
| dc.date.accessioned | 2026-07-07T05:23:59Z | |
| dc.date.available | 2026-07-07T05:23:59Z | |
| dc.description | We study several subseries of the space of second order theta functions on the Jacobian of a non-hyperelliptic curve. In particular, we are interested in the subseries PΓ_{00} consisting of 2theta-divisors having multiplicity at least 4 at the origin, or, equivalently, containing the surface C-C, and in its analogues consisting of 2theta-divisors having higher multiplicities at the origin, containing the four-fold Sym^2C-Sym^2C, or singular along the surface C-C. We use rank 2 vector bundles with a given number of global sections to prove canonical isomorphisms between quotients of the above introduced subseries and vector spaces defined by the canonical divisor. | |
| dc.description | 28 pages, Latex2e | |
| dc.identifier | https://arxiv.org/abs/math/9803013 | |
| dc.identifier | http://arxiv.org/abs/math/9803013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76665 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Singularities of 2theta-divisors in the Jacobian | |
| dc.type | text |