Cubic fourfolds containing highly singular hyperplane sections
Algebraic Geometry
2026-01-29 v1
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.
Keywords
Cite
@article{arxiv.2601.20778,
title = {Cubic fourfolds containing highly singular hyperplane sections},
author = {Lisa Marquand and Sasha Viktorova},
journal= {arXiv preprint arXiv:2601.20778},
year = {2026}
}
Comments
19 pages, comments welcome!