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arXiv · 1210.3715

On the locus of non-rigid hypersurfaces

Thomas Eckl·Aleksandr Pukhlikov
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Abstract

We show that the Zariski closure of the set of hypersurfaces of degree $M$ in ${\mathbb P}^{M}$, where $M\geq 5$, which are either not factorial or not birationally superrigid, is of codimension at least $\binom{M-3}{2}+1$ in the parameter space.

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Thomas Eckl, Aleksandr Pukhlikov. 2012-10-13. On the locus of non-rigid hypersurfaces. https://arxiv.org/abs/1210.3715

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