Exceptional rays and bilipschitz geometry of real surface singularities

2017/05/15 by O'Shea, Donal, Wilson, Leslie
#14B05 #14J17 #14P10 #51F99 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1705.05069

Abstract

It is known that ambient bilipschitz equivalence preserves tangent cones. This paper explores the behavior of the Nash cone and, in particular, exceptional rays under ambient bilipschitz equivalence for real surfaces in R³ with isolated singularity.

Related

• Bilipschitz geometry of real surface singularities whose tangent cone is a plane
• On the exceptional locus of the birational projections of normal surface singularity into a plane
• Classifiyng metrically conical rational singularities
• Surfaces of constant curvature in R³ with isolated singularities
• Ambient Lipschitz equivalence of real surface singularities