Singular hypersurfaces possessing infinitely many star points

Details Singular hypersurfaces possessing infinitely many star points Singular hypersurfaces possessing infinitely many star points

2009-09-09

arxiv.org/abs/0909.1727v1

Mathematics

Algebraic Geometry

12 pages

Scientific paper

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).

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