Work

Bounding projective hypersurface singularities

Year: 2024

Type: article

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.

Source: Advances in Mathematics

DOI: 10.1016/j.aim.2024.109970

Author: Ben Castor

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,510

OpenAlex ID: W4286895879

FWCI:

Cites: 8

Cited by:

Related to: 10