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math.AG2025
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…
math.AG2025
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…
math.AG2025
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…