About relative polar varieties and Brasselet numbers

2020/07/08 by Santana, Hellen
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2007.04815

Abstract

In this work, we study the consequences of an empty polar variety on the topology of a function-germ with (possibly) nonisolated singularities defined on a singular variety.

Related

• Brasselet number and function-germs with a one-dimensional critical set
• Local topology of a deformation of a function-germ with a one-dimensional critical set
• Local polar varieties in the geometric study of singularities
• Determining plane curve singularities from its polars
• Singularities of non-ℚ-Gorenstein varieties admitting a polarized endomorphism