Abel maps of Gorenstein curves

DOI10.1007/s12215-008-0002-yzbMath1139.14025arXiv0712.1457OpenAlexW2045983544MaRDI QIDQ931073

Lucia Caporaso, Juliana Coelho, Eduardo Esteves

Publication date: 24 June 2008

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.1457

zbMATH Keywords

Abel mapGorenstein singularityCompactified JacobianTorsion-free rank-1 sheaf

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Vector bundles on curves and their moduli (14H60)

Related Items

Fine compactified Jacobians, Abel Maps for nodal curves via tropical geometry, Autoduality for treelike curves with planar singularities, Fine compactified Jacobians of reduced curves, On Lagrangian fibrations by Jacobians, II, Canonical systems and their limits on stable curves, Abel maps and limit linear series, Relative compactified Jacobiansof linear systemson Enriques surfaces, The resolution of the degree‐2 Abel‐Jacobi map for nodal curves‐I, Abel maps for curves of compact type, Autoduality holds for a degenerating abelian variety, Sheaves of maximal intersection and multiplicities of stable log maps, Compactified Jacobians of curves with spine decompositions, On the degree-1 Abel map for nodal curves, Brill–Noether Locus of Rank 1 and Degreeg− 1 on a Nodal Curve, On the geometry of Abel maps for nodal curves

Cites Work

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• Compactifying the Picard scheme
• Very ampleness for Theta on the compactified Jacobian
• Separation properties of theta functions
• Compactifying the relative Jacobian over families of reduced curves
• A Compactification of the Universal Picard Variety over the Moduli Space of Stable Curves
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