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math.AG2024
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,…
math.AG2024★ 1 cited
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…
math.AG2024
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…