39 citations · 232 across the 70 of their papers we have counts for
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A 9-dimensional family of K3 surfaces with finite dimensional motive
Michele Bolognesi, Robert Laterveer
Let S be a K3 surface obtained as triple cover of a quadric branched along a genus 4 curve. Using the relation with cubic fourfolds, we show that S has finite dimensional motive, i…
The Beauville-Voisin conjecture for double EPW sextics
Robert Laterveer
We prove that the Beauville-Voisin conjecture is true for any double EPW sextic, i.e. the subalgebra of the Chow ring generated by divisors and Chern classes of the tangent bundle…
Algebraic cycles and Fano threefolds of genus 10
Robert Laterveer
We show that prime Fano threefolds of genus 10 have a multiplicative Chow-Künneth decomposition, in the sense of Shen-Vial. As a consequence, a certain tautological subring of…
Relative and absolute Lefschetz standard conjectures for some Lagrangian fibrations
Giuseppe Ancona, Mattia Cavicchi, Robert Laterveer +1
We show that the hyper-Kähler varieties of OG10-type constructed by Laza-Saccà-Voisin (LSV) verify the Lefschetz standard conjecture. This is an application of a more general resul…
Some more Fano threefolds with a multiplicative Chow-Künneth decomposition
Robert Laterveer
We exhibit several families of Fano threefolds with a multiplicative Chow-Künneth decomposition, in the sense of Shen-Vial. As a consequence, a certain tautological subring of the…