English

Factorial threefold hypersurfaces

Algebraic Geometry 2008-03-25 v2 Commutative Algebra

Abstract

Let XX be a hypersurface in P4\mathbb{P}^{4} of degree dd that has at most isolated ordinary double points. We prove that XX is factorial in the case when XX has at most (d1)21(d-1)^{2}-1 singular points.

Keywords

Cite

@article{arxiv.0803.3301,
  title  = {Factorial threefold hypersurfaces},
  author = {Ivan Cheltsov},
  journal= {arXiv preprint arXiv:0803.3301},
  year   = {2008}
}

Comments

7 pages, typos removed

R2 v1 2026-06-21T10:23:45.418Z