The Hodge and Tate conjectures for hyper-K\"{a}hler sixfolds of generalized Kummer type

Author:

Salvatore Floccari

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG)

journal:

date:

2023-08-03 16:00:00

Abstract

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

PDF: The Hodge and Tate conjectures for hyper-K\"{a}hler sixfolds of generalized Kummer type.pdf