2 citations · 9 across the 16 of their papers we have counts for
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Counting Fourier-Mukai partners of cubic fourfolds
Christian Böhning, Hans-Christian Graf von Bothmer, Lisa Marquand
We develop an algorithm to count the number of virtual Fourier-Mukai partners for a given cubic fourfold, with initial input the primitive algebraic lattice and transcendental Hodg…
Peskine sixfolds and Debarre-Voisin fourfolds with associated cubic fourfolds
Corey Brooke, Laure Flapan, Sarah Frei +1
We develop the notion of Peskine sixfolds with associated K3 surfaces and cubic fourfolds and work out numerical conditions for when these associations occur. In discriminant 24, t…
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.
Fourier-Mukai partners of non-syzygetic cubic fourfolds and Gale duality
Christian Böhning, Hans-Christian Graf von Bothmer, Lisa Marquand
We study so-called non-syzygetic cubic fourfolds, i.e., smooth cubic fourfolds containing two cubic surface scrolls in distinct hyperplanes with intersection number between the two…
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…