16 citations · 63 across the 47 of their papers we have counts for
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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…
Algebraic cycles and Todorov surfaces
Robert Laterveer
Motivated by the Bloch-Beilinson conjectures, Voisin has formulated a conjecture about 0-cycles on self-products of surfaces of geometric genus one. We verify Voisin's conjecture f…
Some new examples of smash-nilpotent algebraic cycles
Robert Laterveer
Voevodsky has conjectured that numerical equivalence and smash-equivalence coincide for algebraic cycles on any smooth projective variety. Building on work of Vial and Kahn-Sebasti…