3 papers
math.AG2026
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…
math.AG2026
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.
math.AG2025
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…