Compactifying the image of the Abel map

Details Compactifying the image of the Abel map Compactifying the image of the Abel map

2010-09-24

arxiv.org/abs/1009.4815v2

Mathematics

Algebraic Geometry

Scientific paper

Let $\alpha_X^{\underline d}$ be the Abel map of multidegree $\underline d$
of a singular curve $X$ of genus $g$. We describe the closure of ${\rm
Im}\alpha_X^{\underline d}$ inside Caporaso's compactified Jacobian
$\bar{P_X^d}$ for irreducible curves, curves of compact type and binary curves.

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