26 citations · 175 across the 28 of their papers we have counts for
32 papers
Maximal real varieties from moduli constructions
Lie Fu
For a complex manifold equipped with an anti-holomorphic involution, which is referred to as a real variety, the Smith-Thom inequality states that the total -Betti nu…
The Tate Conjecture for even dimensional Gushel-Mukai varieties in characteristic
Lie Fu, Ben Moonen
We study Gushel-Mukai (GM) varieties of dimension 4 or 6 in characteristic . Our main result is the Tate conjecture for all such varieties over finitely generated fields of char…
Algebraic cycles on Gushel-Mukai varieties
Lie Fu, Ben Moonen
We study algebraic cycles on complex Gushel-Mukai (GM) varieties. We prove the generalised Hodge conjecture, the (motivated) Mumford-Tate conjecture, and the generalised Tate conje…
Unpolarized Shafarevich conjectures for hyper-Kähler varieties
Lie Fu, Zhiyuan Li, Teppei Takamatsu +1
The Shafarevich conjecture/problem is about the finiteness of isomorphism classes of a family of varieties defined over a number field with good reduction outside a finite collecti…
A remark on the higher torsion invariants for flat vector bundles with finite holonomy
Lie Fu, Yeping Zhang
We show that the Igusa-Klein topological torsion and the Bismut-Lott analytic torsion are equivalent for any flat vector bundle whose holonomy is a finite subgroup of $\mathrm{GL}_…
Unpolarized Shafarevich conjectures for hyper-Kähler varieties
Lie Fu, Zhiyuan Li, Haitao Zou
Shafarevich conjecture/problem is about the finiteness of isomorphism classes of a family of varieties defined over a number field with good reduction outside a finite collection o…