English

Singular hypersurfaces possessing infinitely many star points

Algebraic Geometry 2009-09-10 v1

Abstract

We prove that a component of the closure of the set of star points on a hypersurface X of degree d>2 in N-dimensional projective space is linear. Afterwards, we focus on the case where the component is of maximal dimension N-2 and the case where X is a surface (i.e. N=3).

Keywords

Cite

@article{arxiv.0909.1727,
  title  = {Singular hypersurfaces possessing infinitely many star points},
  author = {Filip Cools and Marc Coppens},
  journal= {arXiv preprint arXiv:0909.1727},
  year   = {2009}
}

Comments

12 pages

R2 v1 2026-06-21T13:44:26.931Z