The degree-2 Abel--Jacobi map for nodal curves - I

Abstract

Let $f\col\C\ra B$ be a regular local smoothing of a nodal curve. In this paper, we find a modular description of the Abel--Néron map having values in Esteves's fine compactified Jacobian and extending the degree-2 Abel--Jacobi map of the generic fiber of $f$

21 pages, 1 figure

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• Semistable modifications of families of curves and compactified Jacobians