11 citations · 20 across the 9 of their papers we have counts for
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On the Hodge conjecture for hyper-Kähler varieties of generalized Kummer type of dimension divisible by four
Salvatore Floccari, Lie Fu
We prove the Hodge conjecture for all hyper-Kähler varieties of generalized Kummer type of dimension with a prime number, and all powers of these varieties. For any vari…
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 Kum…
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 of…
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 sho…
The Hodge and Tate conjectures for hyper-Kähler sixfolds of generalized Kummer type
Salvatore Floccari
We prove the conjectures of Hodge and Tate for any six-dimensional hyper-Kähler variety that is deformation equivalent to a generalized Kummer variety.
Sixfolds of generalized Kummer type and K3 surfaces
Salvatore Floccari
We prove that any hyper-Kähler sixfold of generalized Kummer type has a naturally associated manifold of -type. It is obtained as crepant resolution of…
On the motive of O'Grady's six dimensional hyper-Kähler varieties
Salvatore Floccari
We prove that the rational Chow motive of a six dimensional hyper-Kähler variety obtained as symplectic resolution of O'Grady type of a singular moduli space of semistable sheaves…
Galois representations on the cohomology of hyper-Kähler varieties
Salvatore Floccari
We show that the André motive of a hyper-Kähler variety over a field with is governed by its component in degree . More precisely, we prove…
On the motive of O'Grady's ten-dimensional hyper-Kähler varieties
Salvatore Floccari, Lie Fu, Ziyu Zhang
We investigate how the motive of hyper-Kähler varieties is controlled by weight-2 (or surface-like) motives via tensor operations. In the first part, we study the Voevodsky motive…
On the Mumford-Tate conjecture for hyperkähler varieties
Salvatore Floccari
We study the Mumford--Tate conjecture for hyperkähler varieties. We show that the full conjecture holds for all varieties deformation equivalent to either an Hilbert scheme of poin…