Nash blowups of normal toric surfaces: the case of one and two segments

Abstract We show that iterating Nash blowups resolves the singularities of normal toric surfaces satisfying the following property: the minimal generating set of the corresponding semigroup is contained in one or two segments. We also provide examples with an arbitrary number of segments for which the same result holds.

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Publication Details

Journal
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
Published
2025-08-28
DOI
https://doi.org/10.1007/s13366-025-00805-x
Primary Topic
Polynomial and algebraic computation
Type
article
Field-Weighted Citation Impact
0.00
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article

Nash blowups of normal toric surfaces: the case of one and two segments

Daniel Duarte, Jawad Snoussi
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
Polynomial and algebraic computation
article

Nash blowups of normal toric surfaces: the case of one and two segments

Daniel Duarte, Jawad Snoussi
article en

Abstract

Abstract We show that iterating Nash blowups resolves the singularities of normal toric surfaces satisfying the following property: the minimal generating set of the corresponding semigroup is contained in one or two segments. We also provide examples with an arbitrary number of segments for which the same result holds.

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
Universidad de Morelia (MX), Universidad Nacional Autónoma de México (MX)
Openalex Percentile: Top 76%
Polynomial and algebraic computation
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