On Abel maps of stable curves

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dc.creatorCaporaso, Lucia
dc.creatorEsteves, Eduardo
dc.date2006-03-20
dc.date.accessioned2026-07-07T07:07:05Z
dc.date.available2026-07-07T07:07:05Z
dc.descriptionWe 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.
dc.description32 pages
dc.identifierhttps://arxiv.org/abs/math/0603476
dc.identifierhttp://arxiv.org/abs/math/0603476
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110263
dc.subjectAlgebraic Geometry
dc.subject14H10
dc.titleOn Abel maps of stable curves
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