6 papers
Cubic fourfolds containing highly singular hyperplane sections
Lisa Marquand, Sasha Viktorova
We construct five irreducible divisors in the moduli space of complex cubic fourfolds parametrising smooth cubic fourfolds that contain highly singular hyperplane sections. We prov…
Equivariant geometry of cubic threefolds with non-isolated singularities
Ivan Cheltsov, Lisa Marquand, Yuri Tschinkel +1
We study linearizability of actions of finite groups on cubic threefolds with non-isolated singularities.
Equivariant Kuznetsov components for cubic fourfolds with a symplectic involution
Laure Flapan, Sarah Frei, Lisa Marquand
We study the equivariant Kuznetsov component of a general cubic fourfold with a symplectic involution. We show that is equivalent to the d…
Relative compactified Prym and Picard fibrations associated to very good cubic fourfolds
Yajnaseni Dutta, Lisa Marquand
A very good cubic fourfold is a smooth cubic fourfold that does not contain a plane, a cubic scroll, or a hyperplane section with a corank 3 singularity. We prove that the normaliz…
Cubic fourfolds with a symplectic automorphism of prime order
Simone Billi, Annalisa Grossi, Lisa Marquand
We determine the algebraic and transcendental lattices of a general cubic fourfold with a symplectic automorphism of prime order. We prove that cubic fourfolds admitting a symplect…
Cubic Fourfolds with an Involution
Lisa Marquand
There are three types of involutions on a cubic fourfold; two of anti-symplectic type, and one symplectic. Here we show that cubics with involutions exhibit the full range of behav…