10 citations · 10 across the 5 of their papers we have counts for
7 papers
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…
Supersingular Tate conjecture for irreducible symplectic varieties of known types: I
Lie Fu, Xuanlin Huang, Zhiyuan Li
We prove that for a supersingular irreducible symplectic variety admitting suitable lifting to characteristic zero has Tate Chow motive if it is of deformation type , OG6…
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…
On maximality of involutions of hyper-Kähler manifolds and punctual Hilbert schemes of surfaces
Simone Billi, Lie Fu, Annalisa Grossi +1
Given a holomorphic or anti-holomorphic involution on a complex variety, the Smith inequality says that the total -Betti number of the fixed locus is no greater than…
Finiteness of pointed families of symplectic varieties: a geometric Shafarevich conjecture
Lie Fu, Zhiyuan Li, Teppei Takamatsu +1
We investigate in this paper the so-called pointed Shafarevich problem for families of primitive symplectic varieties. More precisely, for any fixed pointed curve and any…
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…
The generalized Franchetta conjecture for some hyper-Kähler varieties
Lie Fu, Robert Laterveer, Charles Vial +1
The generalized Franchetta conjecture for hyper-Kähler varieties predicts that an algebraic cycle on the universal family of certain polarized hyper-Kähler varieties is fiberwise r…