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arXiv · 2110.12574

Bounding Projective Hypersurface Singularities

B. Castor
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Abstract

We compare several different methods involving Hodge-theoretic spectra of singularities which produce constraints on the number and type of isolated singularities on projective hypersurfaces of fixed degree. In particular, we introduce a method based on the spectrum of the nonisolated singularity at the origin of the affine cone on such a hypersurface, and relate the resulting explicit formula to Varchenko's bound.

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B. Castor. 2021-10-25. Bounding Projective Hypersurface Singularities. https://arxiv.org/abs/2110.12574

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