Abel maps of Gorenstein curves
| dc.creator | Caporaso, Lucia | |
| dc.creator | Coelho, Juliana | |
| dc.creator | Esteves, Eduardo | |
| dc.date | 2007-12-10 | |
| dc.date.accessioned | 2026-07-07T08:48:16Z | |
| dc.date.available | 2026-07-07T08:48:16Z | |
| dc.description | For a Gorenstein curve X and a nonsingular point P of X, we construct Abel maps A from X to J_X^1 and A_P from X to J_X^0, where J_X^i is the moduli scheme for simple, torsion-free, rank-1 sheaves on X of degree i. The image curves of A and A_P are shown to have the same arithmetic genus of X. Also, A and A_P are shown to be embeddings away from rational subcurves L of X meeting the closure of X-L in separating nodes. Finally, we establish a connection with Seshadri's moduli scheme U_X(1) for semistable, torsion-free, rank-1 sheaves on X, obtaining an embedding of A(X) into U_X(1). | |
| dc.identifier | https://arxiv.org/abs/0712.1457 | |
| dc.identifier | http://arxiv.org/abs/0712.1457 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/143884 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H40; 14H60 | |
| dc.title | Abel maps of Gorenstein curves | |
| dc.type | text |