4 papers
The hyper-Kummer construction
Salvatore Floccari, Lie Fu
The hyper-Kummer construction, discovered by the first-named author, associates a hyper-Kähler manifold of -type with any hyper-Kähler sixfold of generalized K…
The Hodge conjecture for Weil fourfolds with discriminant 1 via singular OG6-varieties
Salvatore Floccari, Lie Fu
We give a new proof of the Hodge conjecture for abelian fourfolds of Weil type with discriminant 1 and all of their powers. The Hodge conjecture for these abelian fourfolds was pro…
K3 surfaces associated with varieties of generalized Kummer type
Salvatore Floccari
With any hyper-Kähler variety of generalized Kummer type is associated via Hodge theory a K3 surface . We show how they are related geometrically through a moduli space o…
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…