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15 papers
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…
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…
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…
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 singular cubic threefolds, II
Ivan Cheltsov, Lisa Marquand, Yuri Tschinkel +1
We study linearizability of actions of finite groups on cubic threefolds with nonnodal isolated singularities.
Counting Fourier-Mukai partners of cubic fourfolds
Christian Böhning, Christian Böhning, Hans-Christian Graf von Bothmer +1
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…