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math.AG2022
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…
math.AG2022
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…