Gradients of odd theta functions
| dc.creator | Grushevsky, Samuel | |
| dc.creator | Manni, Riccardo Salvati | |
| dc.date | 2003-10-07 | |
| dc.date.accessioned | 2026-07-07T05:01:40Z | |
| dc.date.available | 2026-07-07T05:01:40Z | |
| dc.description | We show that a generic principally polarized abelian variety (ppav) is uniquely determined by its theta hyperplanes. These are the non-projectivized version of those studied by Caporaso and Sernesi (see math.AG/0204164), which in a sense are a generalization to ppavs of bitangents of plane quartics, and of hyperplanes tangent to a canonical curves of genus $g$ in $g-1$ points. More precisely, we show that, generically, the set of gradients of all odd theta functions at the point zero uniquely determines a ppav with level (4,8) structure. We also show that our map is an immersion of the moduli space of ppavs. | |
| dc.identifier | https://arxiv.org/abs/math/0310085 | |
| dc.identifier | http://arxiv.org/abs/math/0310085 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68760 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Gradients of odd theta functions | |
| dc.type | text |