On the Lipschitz saturation of toric singularities

Fuente: arXiv
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Auteurs principaux: Duarte, Daniel, Flores, Arturo E. Giles
Format: Preprint
Publié: 2023
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author Duarte, Daniel
Flores, Arturo E. Giles
author_facet Duarte, Daniel
Flores, Arturo E. Giles
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2310_03216
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle On the Lipschitz saturation of toric singularities
Duarte, Daniel
Flores, Arturo E. Giles
Algebraic Geometry
Complex Variables
32S05, 32S15, 32S70, 32B05
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.
title On the Lipschitz saturation of toric singularities
topic Algebraic Geometry
Complex Variables
32S05, 32S15, 32S70, 32B05
url https://arxiv.org/abs/2310.03216