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arXiv · 1009.4815

Compactifying the image of the Abel map

Silvia Brannetti
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Abstract

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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Silvia Brannetti. 2010-09-24. Compactifying the image of the Abel map. https://arxiv.org/abs/1009.4815

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