2 citations · 4 across the 5 of their papers we have counts for
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On the birational motive of hyper-Kähler varieties
Charles Vial
We introduce a new ascending filtration, that we call the co-radical filtration in analogy with the basic theory of co-algebras, on the Chow groups of pointed smooth projective var…
Cubic fourfolds, Kuznetsov components and Chow motives
Lie Fu, Charles Vial
We prove that the Chow motives of two smooth cubic fourfolds whose Kuznetsov components are Fourier-Mukai derived-equivalent are isomorphic as Frobenius algebra objects. As a corol…
Decomposition of the diagonal, intermediate Jacobians, and universal codimension-2 cycles in positive characteristic
Jeff Achter, Sebastian Casalaina-Martin, Charles Vial
We consider the connections among algebraic cycles, abelian varieties, and stable rationality of smooth projective varieties in positive characteristic. Recently Voisin constructed…
On the image of the second l-adic Bloch map
Jeff Achter, Sebastian Casalaina-Martin, Charles Vial
For a smooth projective geometrically uniruled threefold defined over a perfect field we show that there exists a canonical abelian variety over the field, namely the second algebr…
Zero-cycles on double EPW sextics
Robert Laterveer, Charles Vial
The Chow rings of hyperKähler varieties are conjectured to have a particularly rich structure. In this paper, we focus on the locally complete family of double EPW sextics and esta…
The generalized Franchetta conjecture for some hyper-Kähler varieties, II
Lie Fu, Robert Laterveer, Charles Vial
We prove the generalized Franchetta conjecture for the locally complete family of hyper-Kähler eightfolds constructed by Lehn-Lehn-Sorger-van Straten (LLSS). As a corollary, we est…