5 papers · 1 filter
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…
Birational automorphism groups in families of hyper-Kähler manifolds
Francesco Antonio Denisi, Claudio Onorati, Francesca Rizzo +1
We study the behavior of birational automorphism groups in families of projective hyper-Kähler manifolds.
The defect of a cubic threefold and applications to intermediate Jacobian fibrations
Lisa Marquand, Sasha Viktorova
The defect of a cubic threefold with isolated singularities is a global invariant that measures the failure of -factoriality. We compute the defect for such cubics…
On the classification of singular cubic threefolds
Sasha Viktorova
We classify combinations of isolated singularities that can occur on complex cubic threefolds generalizing analogous results for cubic surfaces due to Schläfli and Bruce--Wall. In…
Irreducible symplectic varieties via relative Prym varieties
Emma Brakkee, Chiara Camere, Annalisa Grossi +3
Generalizing work of Markushevich--Tikhomirov and Arbarello--Saccà --Ferretti, we use relative Prym varieties to construct Lagrangian fibered symplectic varieties in infinitely man…