Relative Jacobians of elliptic fibrations with reducible fibers
| 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 | We prove that if $X$ and $S$ are smooth varieties and $f\colon X\to S$ is an elliptic fibration with singular fibers curves of types I$_N$ with $N\geq 1$, II, III and IV, then the relative Jacobian $\hat{f}\colon \bar{M}_{X/S}\to S$ of $f$, defined as the relative moduli space of semistable pure dimension one sheaves of rank 1 and degree 0 on the fibers of $f$, is an elliptic fibration such that all its fibers are irreducible. This extends known results when fibers are integral or of type I$_2$. | |
| dc.description | Latex file with two figures | |
| dc.identifier | https://arxiv.org/abs/math/0410394 | |
| dc.identifier | http://arxiv.org/abs/math/0410394 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72921 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H60, 14F05,14D20, 14D22 | |
| dc.title | Relative Jacobians of elliptic fibrations with reducible fibers | |
| dc.type | text |