Geometry of the theta divisor of a compactified Jacobian

DOI10.4171/JEMS/185zbMath1202.14030arXiv0707.4602MaRDI QIDQ1041261

Lucia Caporaso

Publication date: 1 December 2009

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.4602

zbMATH Keywords

line bundletheta divisorAbel mapcompactified Picard schemehyperelliptic stable curveNodal curve

Mathematics Subject Classification ID

Picard schemes, higher Jacobians (14K30) Algebraic moduli problems, moduli of vector bundles (14D20) Jacobians, Prym varieties (14H40) Special divisors on curves (gonality, Brill-Noether theory) (14H51)

Related Items

Fine compactified Jacobians ⋮ Extensions of the universal theta divisor ⋮ On the rank of general linear series on stable curves ⋮ Algebraic cycles on Prym varieties ⋮ Torelli theorem for stable curves ⋮ COMPACTIFICATION OF THE PRYM MAP FOR NON-CYCLIC TRIPLE COVERINGS ⋮ The local structure of compactified Jacobians ⋮ Torelli theorem for graphs and tropical curves ⋮ Tropicalizing the moduli space of spin curves ⋮ Brill–Noether Locus of Rank 1 and Degreeg− 1 on a Nodal Curve ⋮ A Clifford inequality for semistable curves

Cites Work

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• Compactified Jacobians and Torelli map
• Compactifying the Picard scheme
• Prym varieties and Schottky problem
• Very ampleness for Theta on the compactified Jacobian
• Moduli of representations of the fundamental group of a smooth projective variety. II
• Su una congettura di Petri
• Complete moduli in the presence of semiabelian group action.
• Compactifications of the Generalized Jacobian Variety
• Spin Curves Over Nonstable Curves
• Divisor classes associated to families of stable varieties, with applications to the moduli space of curves
• A Compactification of the Universal Picard Variety over the Moduli Space of Stable Curves
• Néron models and compactified Picard schemes over the moduli stack of stable curves