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Birational geometry of Fano varieties of lines on cubic fourfolds containing pairs of cubic scrolls
Corey Brooke, Sarah Frei, Lisa Marquand +1
We characterize the birational geometry of some hyperkähler fourfolds of Picard rank obtained as the Fano varieties of lines on cubic fourfolds containing pairs of cubic scrol…
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 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…
Cubic fourfolds with birational Fano varieties of lines
Corey Brooke, Sarah Frei, Lisa Marquand
We give several examples of pairs of non-isomorphic cubic fourfolds whose Fano varieties of lines are birationally equivalent (and in one example isomorphic). Two of our examples,…
On decompositions for Fano schemes of intersections of two quadrics
Pieter Belmans, Jishnu Bose, Sarah Frei +6
We propose conjectural semiorthogonal decompositions for Fano schemes of linear subspaces on intersections of two quadrics, in terms of symmetric powers of the associated hyperelli…