Cubic fourfolds containing highly singular hyperplane sections

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Lisa Marquand, Sasha Viktorova
DOI: 10.48550/arxiv.2601.20778
Cited by: 0

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.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Geometry and complex manifolds Advanced Algebra and Geometry

Publication details

Journal / source
arXiv (Cornell University)
Publication date
28 January 2026
Document type
Preprint