6 citations · 34 across the 28 of their papers we have counts for
61 papers
On the tautological ring of Humbert curves
Robert Laterveer
We exhibit a 2-dimensional family of non-hyperelliptic curves of genus 5, called Humbert curves, for which the tautological ring injects into cohomology. In particular, Humbert cur…
Algebraic cycles and Fano threefolds of genus 8
Robert Laterveer
We show that prime Fano threefolds of genus 8 have a multiplicative Chow-Künneth decomposition, in the sense of Shen-Vial. As a consequence, a certain tautological subring of t…
Algebraic cycles and Lehn-Lehn-Sorger-van Straten eightfolds
Robert Laterveer
This article is about Lehn-Lehn-Sorger-van Straten eightfolds , and their anti-symplectic involution . When is birational to the Hilbert scheme of points on a K3 surface,…
On the Chow ring of Fano varieties on the Fatighenti-Mongardi list
Robert Laterveer
Conjecturally, Fano varieties of K3 type admit a multiplicative Chow-Künneth decomposition, in the sense of Shen-Vial. We prove this for many of the families of Fano varieties of K…
Algebraic cycles and intersections of 2 quadrics
Robert Laterveer
A smooth intersection of two quadrics in has Hodge level 1. We show that such varieties have a multiplicative Chow-Künneth decomposition, in the sense o…
On the Chow ring of some Lagrangian fibrations
Robert Laterveer
Let be a hyperkähler variety admitting a Lagrangian fibration. Beauville's "splitting property" conjecture predicts that fibres of the Lagrangian fibration should have a partic…