39 citations · 232 across the 70 of their papers we have counts for
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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,…
Algebraic cycles and Verra fourfolds
Robert Laterveer
This note is about the Chow ring of Verra fourfolds. For a general Verra fourfold, we show that the Chow group of homologically trivial -cycles is generated by conics. We also s…
A remark on the Chow ring of Küchle fourfolds of type
Robert Laterveer
We prove that Küchle fourfolds of type d3 have a multiplicative Chow-Künneth decomposition. We present some consequences for the Chow ring of .
On the motive of Ito-Miura-Okawa-Ueda Calabi-Yau threefolds
Robert Laterveer
Ito-Miura-Okawa-Ueda have constructed a pair of Calabi-Yau threefolds and that are L-equivalent and derived equivalent, but not stably birational. We complete the picture b…
Algebraic cycles and very special cubic fourfolds
Robert Laterveer
Informed by the Bloch-Beilinson conjectures, Voisin has made a conjecture about -cycles on self-products of Calabi-Yau varieties. In this note, we consider variant versions of V…
Zero-cycles on Cancian-Frapporti surfaces
Robert Laterveer
An old conjecture of Voisin describes how -cycles on a surface should behave when pulled-back to the self-product for . We show that Voisin's conjecture is t…
On the Chow ring of certain hypersurfaces in a Grassmannian
Robert Laterveer
This small note is about Plücker hyperplane sections of the Grassmannian . Inspired by the analogy with cubic fourfolds, we prove that the only non…