English

Classification of normal toric surfaces resolved by a single Nash blowup

Algebraic Geometry 2025-12-01 v1

Abstract

We present a complete classification of normal toric surfaces that are resolved by a single normalized Nash blowup. Likewise, we obtain a complete classification of those resolved by a single Nash blowup. In both cases, the classification is expressed in terms of the continued fraction associated with the normal toric surface.

Keywords

Cite

@article{arxiv.2511.22021,
  title  = {Classification of normal toric surfaces resolved by a single Nash blowup},
  author = {Amador Cruz-Fuentes},
  journal= {arXiv preprint arXiv:2511.22021},
  year   = {2025}
}