English

Hyperplane sections of cubic threefolds

Algebraic Geometry 2025-03-28 v2

Abstract

Let X be a smooth cubic hypersurface. We prove that a general cubic surface is isomorphic to a hyperplane section of X .

Keywords

Cite

@article{arxiv.2501.07586,
  title  = {Hyperplane sections of cubic threefolds},
  author = {Arnaud Beauville},
  journal= {arXiv preprint arXiv:2501.07586},
  year   = {2025}
}

Comments

Added reference to arXiv:2503.17991 by Beorchia and Mir\`o-Roig

R2 v1 2026-06-28T21:05:04.562Z