On modular properties of odd theta-characteristics
| dc.creator | Caporaso, Lucia | |
| dc.date | 2000-11-21 | |
| dc.date.accessioned | 2026-07-07T04:38:43Z | |
| dc.date.available | 2026-07-07T04:38:43Z | |
| dc.description | A general canonical curve X determines a finite set T(X) of hyperplanes, which is in bijective correspondence with the set of odd theta-characteristics of X. The definition of T(X) can be extended to certain singular curves, in a way that is compatible with degenerations. If X is a Deligne-Mumford stable curve (or a cuspidal curve), we describe the enumerative and local geometry of T(X); this is applied to show that some singular curves are uniquely determined by T(X). This work generalizes the preliminary steps used in AG/0008239 (with E. Sernesi) to show that a general curve of genus 3 can be recovered from its odd theta-characteristics. | |
| dc.description | 13 pages. To appear on the AMS Contemporary Mathematics volume "Advances in Algebraic Geometry Motivated by Physics" | |
| dc.identifier | https://arxiv.org/abs/math/0011154 | |
| dc.identifier | http://arxiv.org/abs/math/0011154 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60390 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14Nxx, 14Hxx | |
| dc.title | On modular properties of odd theta-characteristics | |
| dc.type | text |