39 citations · 232 across the 70 of their papers we have counts for
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On the Chow groups of hypersurfaces in symplectic Grassmannians
Robert Laterveer
Let be a Plücker hypersurface in a symplectic Grassmannian or a bisymplectic Grassmannian . We show that many Chow groups of inject into cohomolo…
On the Chow groups of Plücker hypersurfaces in Grassmannians
Robert Laterveer
Motivated by the generalized Bloch conjecture, we formulate a conjecture about the Chow groups of Plücker hypersurfaces in Grassmannians. We prove weak versions of this conjecture.
K3 surfaces and cubic fourfolds with Abelian motive
Hanine Awada, Michele Bolognesi, Robert Laterveer +1
We show that cubic fourfolds with lattice of algebraic 2-cycles of rank greater than 19 have abelian and finite dimensional (in the sense of Kimura) Chow motive. This also implies…
Zero-cycles on Garbagnati surfaces
Robert Laterveer
Garbagnati has constructed certain surfaces of general type that are bidouble planes as well as double covers of K3 surfaces. In this note, we study the Chow groups (and Chow motiv…
Algebraic cycles and special Horikawa surfaces
Robert Laterveer
This note is about a -dimensional family of surfaces of general type with and and , called "special Horikawa surfaces". These surfaces, studied by Pearlste…
Zero-cycles on self-products of varieties: some elementary examples verifying Voisin's conjecture
Robert Laterveer
An old conjecture of Voisin describes how zero-cycles on a variety should behave when pulled-back to the self-product for larger than the geometric genus of . Usin…
Algebraic cycles and Gushel-Mukai fivefolds
Robert Laterveer
We show that Gushel-Mukai fivefolds admit a multiplicative Chow-Künneth decomposition, in the sense of Shen-Vial. As a consequence, a certain tautological subring of the Chow ring…
On the Chow ring of Fano varieties of type
Robert Laterveer
We show that certain Fano eightfolds (obtained as hyperplane sections of an orthogonal Grassmannian, and studied by Ito-Miura-Okawa-Ueda and by Fatighenti-Mongardi) have a multipli…
On the Chow ring of certain Fano fourfolds
Robert Laterveer
We prove that certain Fano fourfolds of K3 type constructed by Fatighenti-Mongardi have a multiplicative Chow-Künneth decomposition. We present some consequences for the Chow ring…
On the Chow ring of Fano varieties of type
Robert Laterveer
Fatighenti and Mongardi have defined Fano varieties of type S6 as zero loci of a certain vector bundle on the Grassmannian . These varieties have 3 Hodge structure…
Bloch's conjecture for some numerical Campedelli surfaces
Robert Laterveer
We prove Bloch's conjecture for numerical Campedelli surfaces with fundamental group of order .
The generalized Franchetta conjecture for some hyper-Kähler varieties, II
Lie Fu, Robert Laterveer, Charles Vial
We prove the generalized Franchetta conjecture for the locally complete family of hyper-Kähler eightfolds constructed by Lehn-Lehn-Sorger-van Straten (LLSS). As a corollary, we est…