Compactifying the relative Jacobian over families of reduced curves
| dc.creator | Esteves, Eduardo | |
| dc.date | 1997-09-08 | |
| dc.date.accessioned | 2026-07-07T09:07:24Z | |
| dc.date.available | 2026-07-07T09:07:24Z | |
| dc.description | We construct natural relative compactifications for the relative Jacobian over a family $X/S$ of reduced curves. In contrast with all the available compactifications so far, ours admit a universal sheaf, after an etale base change. Our method consists of considering the functor $F$ of relatively simple, torsion-free, rank 1 sheaves on $X/S$, and showing that certain open subsheaves of $F$ have good properties. Strictly speaking, the functor $F$ is only representable by an algebraic space, but we show that $F$ is representable by a scheme after an etale base change. Finally, we use theta functions originating from vector bundles to compare our new compactifications with the available ones. | |
| dc.description | AMS-TeX, 41 pages - address: esteves@impa.br | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9709009 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9709009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150362 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Compactifying the relative Jacobian over families of reduced curves | |
| dc.type | text |