Algebraicity of some Weil Hodge classes

2002/11/19 by Kenji Koike, Koike, Kenji · 3 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG

paper · pdf · doi:10.48550/arxiv.math/0211304

submitted to the Canadian Math. Bull

arxiv created 2002/11/19 · openalex publication_date 2002/11/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show the dominance of a certain Prym map. By the Scoens result, this implies the algebraicity of Weil Hodge classes of Abelian 6-folds for the Gauss number field with the discriminant 1.

Cited by

• Secant sheaves and Weil classes on abelian varieties
• Secant sheaves on abelian n-folds with real multiplication and Weil classes on abelian 2n-folds with complex multiplication
• Algebraicity of Hodge classes on some Generalized Prym Varieties

Related

• Algebraicity of some Weil Hodge Classes
• Cycles on abelian 2n-folds of Weil type from secant sheaves on abelian n-folds
• Algebraicity of Hodge classes on some Generalized Prym Varieties
• The Hodge conjecture for Weil fourfolds with discriminant 1 via singular OG6-varieties
• Hyperkähler sixfolds, abelian fourfolds of Weil type and a Hodge class