paper

Cubic fourfolds containing highly singular hyperplane sections

arXiv:2601.20778

Abstract

We construct five irreducible divisors in the moduli space of complex cubic fourfolds parametrising smooth cubic fourfolds that contain highly singular hyperplane sections. We prove that each is not a Noether-Lefschetz (or Hassett) divisor, utilising the computational method developed by Addington-Auel.

19 pages, comments welcome!

Cubic fourfolds containing highly singular hyperplane sections · wovepaper