Abstract
We prove that if X and S are smooth varieties and f : X → S is an elliptic fibration with singular fibers curves of types I N with N ≥ 1 , II, III and IV, then the relative Jacobian f ˆ : 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 I 2.
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