41 citations · 301 across the 36 of their papers we have counts for
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On the Chow ring of Cynk-Hulek Calabi-Yau varieties and Schreieder varieties
Robert Laterveer, Charles Vial
This note is about certain locally complete families of Calabi-Yau varieties constructed by Cynk and Hulek, and certain varieties constructed by Schreieder. We prove that the cycle…
Distinguished cycles on varieties with motive of abelian type and the Section Property
Lie Fu, Charles Vial
A remarkable result of Peter O'Sullivan asserts that the algebra epimorphism from the rational Chow ring of an abelian variety to its rational Chow ring modulo numerical equivalenc…
The generalized Franchetta conjecture for some hyper-Kähler varieties
Lie Fu, Robert Laterveer, Charles Vial +1
The generalized Franchetta conjecture for hyper-Kähler varieties predicts that an algebraic cycle on the universal family of certain polarized hyper-Kähler varieties is fiberwise r…
Derived equivalent threefolds, algebraic representatives, and the coniveau filtration
Jeff Achter, Sebastian Casalaina-Martin, Charles Vial
A conjecture of Orlov predicts that derived equivalent smooth projective varieties over a field have isomorphic Chow motives. The conjecture is known for curves, and was recently o…