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<p>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.</p>

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

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年8月28日

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  • Daniel Duarte,
  • Jawad Snoussi

摘要

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.