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arXiv · 0909.1727

Singular hypersurfaces possessing infinitely many star points

Filip Cools·Marc Coppens
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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).

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Filip Cools, Marc Coppens. 2009-09-09. Singular hypersurfaces possessing infinitely many star points. https://arxiv.org/abs/0909.1727

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