paper

Singular hypersurfaces possessing infinitely many star points

arXiv:0909.1727

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).

12 pages

Singular hypersurfaces possessing infinitely many star points · wovepaper