The primitive cohomology of the theta divisor of an abelian fivefold

DOI10.1090/jag/679zbMath1355.14009arXiv1311.6212OpenAlexW2116574064MaRDI QIDQ2832764

Elham Izadi, Jie Wang, Csilla Tamás

Publication date: 14 November 2016

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.6212

zbMATH Keywords

Prym varietyHodge conjecturevariation of Hodge structuresprincipally polarized abelian varietytheta-divisor

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Theta functions and abelian varieties (14K25) Fibrations, degenerations in algebraic geometry (14D06) Variation of Hodge structures (algebro-geometric aspects) (14D07) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items

Surfaces generating the even primal cohomology of an abelian fivefold ⋮ The uniformization of the moduli space of principally polarized abelian 6-folds

Cites Work

• The structure of the Prym map
• Mixed Hodges structures on punctured neighborhoods
• Limits of Hodge structures
• Prym varieties and Schottky problem
• Degeneration of Kähler manifolds
• Variation of Hodge structure: The singularities of the period mapping
• Some remarks on the Hodge conjecture for abelian varieties
• Théorie de Hodge. III
• Symmetric products of an algebraic curve
• For which Jacobi varities is Sing reducible?
• Correspondences with split polynomial equations
• The fibers of the Prym map
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