4 papers · 1 filter
Birational cubic fourfolds via an Enriques Cremona transformation
Corey Brooke, Lisa Marquand
We describe a Cremona transformation on given by the linear system of quintics that are double along the Fano model of an Enriques surface . Using this Cremona tr…
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…
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,…
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 scroll…