3 citations · 3 across the 4 of their papers we have counts for
7 papers
Deligne-Beilinson cohomology of the universal K3 surface
Zhiyuan Li, Xun Zhang
O'Grady's generalized Franchetta conjecture (GFC) is concerned with codimension 2 algebraic cycles on universal polarized K3 surfaces. In \cite{BL17}, this conjecture has been stud…
Beauville-Voisin filtrations on zero cycles of moduli space of stable sheaves on K3 surfaces
Zhiyuan Li, Ruxuan Zhang
The Beauville-Voisin conjecture predicts the existence of a filtration on projective hyper-Kähler manifolds opposite to the conjecture Bloch-Beilinson filtration, called the Beauiv…
Tautological classes of hyper-Kähler manifolds. Erratum
Nicolas Bergeron, Zhiyuan Li
This note is an erratum to the paper "Tautological classes on moduli spaces of hyper-Kähler manifolds." Thorsten Beckman and Mirko Mauri have pointed to us a gap in the proof of \c…
Supersingular O'Grady varieties of dimension six
Lie Fu, Zhiyuan Li, Haitao Zou
O'Grady constructed a 6-dimensional irreducible holomorphic symplectic variety by taking a crepant resolution of some moduli space of stable sheaves on an abelian surface. In this…
P=W for Lagrangian fibrations and degenerations of hyper-Kähler manifolds
Andrew Harder, Zhiyuan Li, Junliang Shen +1
We identify the perverse filtration of a Lagrangian fibration with the monodromy weight filtration of a maximally unipotent degeneration of compact hyper-Kähler manifolds.
Supersingular irreducible symplectic varieties
Lie Fu, Zhiyuan Li
We study symplectic varieties defined over fields of positive characteristics, especially the supersingular ones, generalizing the theory of supersingular K3 surfaces. In this work…