Compactified Jacobians of curves with spine decompositions
| dc.creator | Esteves, Eduardo | |
| dc.date | 2007-12-07 | |
| dc.date.accessioned | 2026-07-07T08:47:58Z | |
| dc.date.available | 2026-07-07T08:47:58Z | |
| dc.description | A curve, that is, a connected, reduced, projective scheme of dimension 1 over an algebraically closed field, admits two types of compactifications of its (generalized) Jacobian: the moduli schemes of P-quasistable torsion-free, rank-1 sheaves and Seshadri's moduli schemes of S-equivalence classes of semistable torsion-free, rank-1 sheaves. Both are constructed with respect to a choice of polarization. The former are fine moduli spaces which were shown to be complete; here we show that they are actually projective. The latter are just coarse moduli spaces. Here we give a sufficient condition for when these two types of moduli spaces are equal. | |
| dc.identifier | https://arxiv.org/abs/0712.1176 | |
| dc.identifier | http://arxiv.org/abs/0712.1176 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/143786 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H40; 14H60 | |
| dc.title | Compactified Jacobians of curves with spine decompositions | |
| dc.type | text |