2 papers
math.AG2024
Algebraic cycles on hyper-Kähler varieties of generalized Kummer type
Salvatore Floccari, Mauro Varesco
We prove the conjectures of Hodge and Tate for any four-dimensional hyper-Kähler variety of generalized Kummer type. For an arbitrary variety of generalized Kummer type, we sh…
math.AG2024
The Hodge conjecture for powers of K3 surfaces of Picard number 16
Mauro Varesco
We study the Hodge conjecture for powers of K3 surfaces and show that if the Kuga--Satake correspondence is algebraic for a family of K3 surfaces of generic Picard number 16, then…