39 citations · 232 across the 70 of their papers we have counts for
10 papers · 1 filter
On the Chow ring of certain Lehn-Lehn-Sorger-van Straten eightfolds
Chiara Camere, Alberto Cattaneo, Robert Laterveer
We consider a -dimensional family of Lehn-Lehn-Sorger-van Straten hyperkähler eightfolds which have a non-symplectic automorphism of order . Using the theory of finite-dimen…
Algebraic cycles and triple K3 burgers
Robert Laterveer
We consider surfaces of geometric genus with the property that their transcendental cohomology splits into pieces, each piece coming from a surface. For certain famili…
Lagrangian subvarieties in the Chow ring of some hyperkähler varieties
Robert Laterveer
Let be a hyperkähler variety, and let be a Lagrangian subvariety. Conjecturally, should have trivial intersection with certain parts of the Chow ring of . W…
On the Chow groups of certain EPW sextics
Robert Laterveer
This note is about the Hilbert square , where is a general surface of degree , and the anti-symplectic birational involution of constructed by O'Gra…
Zero-cycles on self-products of surfaces: some new examples verifying Voisin's conjecture
Robert Laterveer
An old conjecture of Voisin describes how -cycles of a surface should behave when pulled-back to the self-product for . We exhibit some surfaces with large $…
On the motive of intersections of two Grassmannians in
Robert Laterveer
Using intersections of two Grassmannians in , Ottem-Rennemo and Borisov-Căldăraru-Perry have exhibited pairs of Calabi-Yau threefolds and that are deformati…
On the motive of Kapustka-Rampazzo's Calabi-Yau threefolds
Robert Laterveer
Kapustka and Rampazzo have exhibited pairs of Calabi-Yau threefolds and that are L-equivalent and derived equivalent, without being birational. We complete the picture by s…
On the Chow groups of some hyperkaehler fourfolds with a non-symplectic involution II
Robert Laterveer
This article is about hyperkähler fourfolds admitting a non-symplectic involution . The Bloch-Beilinson conjectures predict the way should act on certain pieces of the C…
A remark on the Chow ring of Sicilian surfaces
Robert Laterveer
We propose a "Bloch type" conjecture for surfaces: if the cup product map in coherent cohomology is zero, then all intersections of homologically trivial divisors should be zero in…
Algebraic cycles on certain hyperkaehler fourfolds with an order non-symplectic automorphism II
Robert Laterveer
Let be a hyperkähler variety, and assume that admits a non-symplectic automorphism of order . Bloch's conjecture predicts that the quotient …