English

Ciliberto-Di Gennaro conjecture for sextic hypersurfaces

Algebraic Geometry 2025-12-22 v2

Abstract

The Ciliberto-Di Gennaro conjecture addresses the factoriality of three-dimensional nodal hypersurfaces, and their geometric properties. We prove this conjecture for hypersurfaces of degree 6 by adapting a recent technique due to R. Kloosterman.

Keywords

Cite

@article{arxiv.2505.06742,
  title  = {Ciliberto-Di Gennaro conjecture for sextic hypersurfaces},
  author = {Ksenia Kvitko},
  journal= {arXiv preprint arXiv:2505.06742},
  year   = {2025}
}