English

Bilipschitz geometry of real surface singularities whose tangent cone is a plane

Algebraic Geometry 2025-05-26 v2

Abstract

Tangent cones are preserved under ambient bilipschitz equivalence, but the behavior of the Nash cone is more delicate. This paper explores the behavior of the Nash cone and of exceptional rays under ambient bilipschitz equivalence for real surfaces in R3\mathbb R^3 with isolated singularity and whose tangent cone is a plane.

Cite

@article{arxiv.2408.07218,
  title  = {Bilipschitz geometry of real surface singularities whose tangent cone is a plane},
  author = {Donal O'Shea and Leslie Wilson},
  journal= {arXiv preprint arXiv:2408.07218},
  year   = {2025}
}
R2 v1 2026-06-28T18:12:20.425Z