English

On the Lipschitz saturation of toric singularities

Algebraic Geometry 2024-07-30 v2 Complex Variables

Abstract

We begin the study of Lipschitz saturation for germs of toric singularities. By looking at their associated analytic algebras, we prove that if (X,0) is a germ of toric singularity with smooth normalization then its Lipschitz saturation is again toric. Finally we show how to calculate the Lipschitz saturation for some families of toric singularities starting from the semigroup that defines them.

Keywords

Cite

@article{arxiv.2310.03216,
  title  = {On the Lipschitz saturation of toric singularities},
  author = {Daniel Duarte and Arturo E. Giles Flores},
  journal= {arXiv preprint arXiv:2310.03216},
  year   = {2024}
}

Comments

27 pages, 3 figures