16 citations · 21 across the 7 of their papers we have counts for
6 papers · 1 filter
Zero-cycles and the Cayley-Oguiso automorphism
Gilberto Bini, Robert Laterveer
Cayley and Oguiso have constructed certain quartic K3 surfaces , with automorphisms of infinite order. We show that when is symplectic (resp. anti-symplectic), it acts a…
Algebraic cycles on surfaces with and
Robert Laterveer
This note is about an old conjecture of Voisin, which concerns zero--cycles on the self-product of surfaces of geometric genus one. We prove this conjecture for surfaces with $p_g=…
Some elementary examples of quartics with finite-dimensional motive
Robert Laterveer
This small note contains some easy examples of quartic hypersurfaces that have finite-dimensional motive. As an illustration, we verify a conjecture of Voevodsky (concerning smash-…
Hard Lefschetz for Chow groups of generalized Kummer varieties
Robert Laterveer
The main result of this note is a hard Lefschetz theorem for the Chow groups of generalized Kummer varieties. The same argument also proves hard Lefschetz for Chow groups of Hilber…
A remark on the motive of the Fano variety of lines of a cubic
Robert Laterveer
Let be a smooth cubic hypersurface, and let be the Fano variety of lines on . We establish a relation between the Chow motives of and . This relation implies in p…
A note about connectedness theorems a la Barth
Robert Laterveer
We prove Barth-type connectedness results for low-codimension smooth subvarieties with good numerical properties inside certain "easy" ambient spaces (such as homogeneous varieties…