39 citations · 232 across the 70 of their papers we have counts for
12 papers · 1 filter
Special cubic fourfolds, K3 surfaces and the Franchetta property
Lie Fu, Robert Laterveer
O'Grady conjectured that the Chow group of 0-cycles of the generic fiber of the universal family over the moduli space of polarized K3 surfaces of genus g is cyclic. This so-called…
Some new Fano varieties with a multiplicative Chow-Künneth decomposition
Robert Laterveer
Let be a smooth dimensionally transverse intersection of the Grassmannian with 3 Plücker hyperplanes. We show that admits a multiplicative Chow-Künneth dec…
Algebraic cycles and Fano threefolds of genus 8
Robert Laterveer
We show that prime Fano threefolds of genus 8 have a multiplicative Chow-Künneth decomposition, in the sense of Shen-Vial. As a consequence, a certain tautological subring of t…
Algebraic cycles and Lehn-Lehn-Sorger-van Straten eightfolds
Robert Laterveer
This article is about Lehn-Lehn-Sorger-van Straten eightfolds , and their anti-symplectic involution . When is birational to the Hilbert scheme of points on a K3 surface,…
Algebraic cycles and intersections of three quadrics
Robert Laterveer
Let be a smooth complete intersection of three quadrics, and assume the dimension of is even. We show that has a multiplicative Chow-Künneth decomposition, in the sense…
On the Chow ring of Fano varieties on the Fatighenti-Mongardi list
Robert Laterveer
Conjecturally, Fano varieties of K3 type admit a multiplicative Chow-Künneth decomposition, in the sense of Shen-Vial. We prove this for many of the families of Fano varieties of K…
Algebraic cycles and intersections of 2 quadrics
Robert Laterveer
A smooth intersection of two quadrics in has Hodge level 1. We show that such varieties have a multiplicative Chow-Künneth decomposition, in the sense o…
On the Chow ring of some Lagrangian fibrations
Robert Laterveer
Let be a hyperkähler variety admitting a Lagrangian fibration. Beauville's "splitting property" conjecture predicts that fibres of the Lagrangian fibration should have a partic…
On the motive of codimension 2 linear sections of
Robert Laterveer
We consider Fano sevenfolds obtained by intersecting the Grassmannian with a codimension 2 linear subspace (with respect to the Plücker embedding). We prove th…
On the Chow ring of some special Calabi-Yau varieties
Robert Laterveer
We consider Calabi-Yau -folds arising from certain hyperplane arrangements. Using Fu-Vial's theory of distinguished cycles for varieties with motive of abelian type, we show…
Motives and the Pfaffian-Grassmannian equivalence
Robert Laterveer
We consider the Pfaffian-Grassmannian equivalence from the motivic point of view. The main result is that under certain numerical conditions, both sides of the equivalence are rela…
Algebraic cycles and intersections of a quadric and a cubic
Robert Laterveer
Let be a smooth complete intersection of a quadric and a cubic in , with even. We show that has a multiplicative Chow-Künneth decomposition, in the sense…