Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1899017 | Journal of Geometry and Physics | 2006 | 11 Pages |
Abstract
We prove that if X and S are smooth varieties and f:X→Sf:X→S is an elliptic fibration with singular fibers curves of types IN with N≥1N≥1, II, III and IV, then the relative Jacobian fˆ:M¯X/S→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 I2.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Ana Cristina López-Martín,