Some Special Cases of Bobadilla's Conjecture

We prove two special cases of a conjecture of J. Fern\'andez de Bobadilla for hypersurfaces with $1$-dimensional critical loci. We do this via a new numerical invariant for such hypersurfaces, called the beta invariant, first defined and explored by the second author in 2014. The beta invariant...

Full description

Saved in:
Bibliographic Details
Main Authors Hepler, Brian, Massey, David B
Format Journal Article
LanguageEnglish
Published 11.10.2015
Subjects
Mathematics - Algebraic Geometry
Online AccessGet full text

Cover

More Information
Summary:We prove two special cases of a conjecture of J. Fern\'andez de Bobadilla for hypersurfaces with $1$-dimensional critical loci. We do this via a new numerical invariant for such hypersurfaces, called the beta invariant, first defined and explored by the second author in 2014. The beta invariant is an algebraically calculable invariant of the local ambient topological-type of the hypersurface, and the vanishing of the beta invariant is equivalent to the hypotheses of Bobadilla's conjecture.
DOI:10.48550/arxiv.1510.03077