3 citations · 7 across the 10 of their papers we have counts for
5 papers · 1 filter
Mukai's program for non-primitive curves on K3 surfaces
Yiran Cheng, Zhiyuan Li, Haoyu Wu
Mukai's program seeks to recover a K3 surface from any curve on it by exhibiting it as a Fourier-Mukai partner to a Brill-Noether locus of vector bundles on the curve. In t…
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…
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…
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…