41 citations · 301 across the 36 of their papers we have counts for
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math.AG2019★ 2 cited
A functorial approach to regular homomorphisms
Jeff Achter, Sebastian Casalaina-Martin, Charles Vial
Classically, regular homomorphisms have been defined as a replacement for Abel--Jacobi maps for smooth varieties over an algebraically closed field. In this work, we interpret regu…
math.AG2019★ 20 cited
Multiplicative Chow-Künneth decompositions and varieties of cohomological K3 type
Lie Fu, Robert Laterveer, Charles Vial
Given a smooth projective variety, a Chow-Künneth decomposition is called multiplicative if it is compatible with the intersection product. Following works of Beauville and Voisin,…
math.AG2019★ 4 cited
A motivic global Torelli theorem for isogenous K3 surfaces
Lie Fu, Charles Vial
We prove that the Chow motives of twisted derived equivalent K3 surfaces are isomorphic, not only as Chow motives (due to Huybrechts), but also as Frobenius algebra objects. Combin…