The Hodge and Tate conjectures for hyper-Kähler sixfolds of generalized Kummer type

2023/08/04 by Salvatore Floccari, Floccari, Salvatore · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Geometry and complex manifolds #math.AG

paper · pdf · doi:10.48550/arxiv.2308.02267

openalex publication_date 2023/08/04 · openalex created_date 2023/08/08 · openalex updated_date 2026/07/28

Abstract

We prove the conjectures of Hodge and Tate for any six-dimensional hyper-Kähler variety that is deformation equivalent to a generalized Kummer variety.

Cited by

• The Lefschetz standard conjectures for 4d-dimensional Kummer-type hyper-Kaehler varieties

Related

• Algebraic cycles on hyper-Kähler varieties of generalized Kummer type
• The Hodge conjecture for Weil fourfolds with discriminant 1 via singular OG6-varieties
• Hyperkähler sixfolds, abelian fourfolds of Weil type and a Hodge class
• K3 surfaces associated with varieties of generalized Kummer type
• Hodge similarities, algebraic classes, and Kuga-Satake varieties