Bounding Projective Hypersurface Singularities
Algebraic Geometry
2024-02-01 v2
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.
Keywords
Cite
@article{arxiv.2110.12574,
title = {Bounding Projective Hypersurface Singularities},
author = {B. Castor},
journal= {arXiv preprint arXiv:2110.12574},
year = {2024}
}