Simpson Jacobians of reducible curves
| dc.creator | Lopez, Ana Cristina | |
| dc.date | 2004-10-18 | |
| dc.date.accessioned | 2026-07-07T05:13:22Z | |
| dc.date.available | 2026-07-07T05:13:22Z | |
| dc.description | For any projective curve $X$ let $\bar{M}^d(X)$ be the Simpson moduli space of pure dimension one rank 1 degree $d$ sheaves that are semistable with respect to a fixed polarization $H$ on $X$. When $X$ is a reduced curve the connected component of $\bar{M}^d(X)$ that contains semistable line bundles can be considered as the compactified Jacobian of $X$. In this paper we give explicitly the structure of this compactified Simpson Jacobian for the following projective curves: tree-like curves and all reduced and reducible curves that can appear as Kodaira singular fibers of an elliptic fibration, that is, the fibers of types $III$, $IV$ and $I_N$ with $N\geq 2$ | |
| dc.description | Latex file with 13 figures. Final version to appear in J. Reine. Angew. Math | |
| dc.identifier | https://arxiv.org/abs/math/0410393 | |
| dc.identifier | http://arxiv.org/abs/math/0410393 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72920 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H60, 14F05, 14D20, 14D22 | |
| dc.title | Simpson Jacobians of reducible curves | |
| dc.type | text |