Surfaces generating the even primal cohomology of an abelian fivefold

DOI10.1007/s00208-020-02081-7zbMath1464.14013arXiv1912.10581OpenAlexW3088750028MaRDI QIDQ2225618

Edward Dewey, Jonathan Conder, Elham Izadi

Publication date: 8 February 2021

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.10581

zbMATH Keywords

abelian varietiesPrym varietiesHodge conjectureBrill-Noether

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Fibrations, degenerations in algebraic geometry (14D06) Subvarieties of abelian varieties (14K12) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Cites Work

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• The structure of the Prym map
• Prym varieties and Schottky problem
• Symmetric products of an algebraic curve
• The Hodge conjecture for general Prym varieties
• The primitive cohomology of the theta divisor of an abelian fivefold
• Classical Algebraic Geometry
• The primitive cohomology of theta divisors
• On a Family of Surfaces of General Type Attached to Abelian Four-Folds and the Weyl GroupW(E₆)
• A theorem of Gieseker-Petri type for Prym varieties
• Geometry of the Severi Variety
• The fibers of the Prym map
• Variétés de Prym et jacobiennes intermédiaires
• The geometric structure of A4, the structure of the Prym map, double solids and Γ00-divisors.