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math.AG2026
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…
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.AG2024
The Picard group of the Baily--Borel compactification of the moduli space of quasi-polarized K3 surfaces and generalizations
Chenxin Huang, Zhiyuan Li, Manuel K. -H. Müller +1
In this paper, we investigate the Picard group of the Baily--Borel compactification of orthogonal Shimura varieties. As a key result, we determine the Picard group of the Baily--Bo…