5 papers · 1 filter
Bloch's conjecture for equivalences between twisted abelian surfaces and applications
Zaiyuan Chen, Zhiyuan Li, Ruxuan Zhang
The Beauville--Voisin conjecture predicts a canonical descending filtration on the Chow group of zero-cycles of a hyperkähler variety, opposite to the conjectural Bloch--Beilinson…
Filtrations on the derived category of twisted K3 surfaces
Zaiyuan Chen, Zhiyuan Li, Ruxuan Zhang +1
We introduce and study the Shen-Yin-Zhao filtration on derived categories of twisted K3 surfaces. A main contribution is the construction of a twisted Beauville-Voisin class $\math…
Bloch's conjecture for (anti-)autoequivalences on K3 surfaces
Zhiyuan Li, Xun Yu, Ruxuan Zhang
In this paper, we investigate Bloch's conjecture for autoequivalence on K3 surfaces. We introduce the notion of reflective autoequivalence of twisted K3 surfaces and prove Bloch's…
One-cycles on Gushel-Mukai fourfolds and the Beauville-Voisin filtration
Ruxuan Zhang
We prove that the invariant locus of the involution associated to a general double EPW sextic is a constant surface and introduce a filtration on $\CH_1$ of a Gushel-Mukai fourfold…
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…