On Abel maps of stable curves

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We construct Abel maps for a stable curve $X$. Namely, for each one-parameter deformation of $X$ with regular total space, and every integer $d>0$, we construct by specialization a map $α^d_X$ from the smooth locus of $X^d$ to the moduli scheme of balanced line bundles on semistable curves over $X$. For $d=1$, we show that $α^1_X$ naturally extends over $X$, and does not depend on the choice of the deformation; we give a precise description of when it is injective.
32 pages

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Algebraic Geometry, 14H10

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http://salesiana.dossiersoluciones.com/handle/123456789/110263

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603476
 http://arxiv.org/abs/math/0603476

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arXiv