English

Non-normalized Nash blowup fails to resolve singularities in dimension three

Algebraic Geometry 2025-11-04 v1

Abstract

In this paper we show that iterating (non-normalized) Nash blowups does not necessarily resolve the singularities of algebraic varieties of dimension three over fields of characteristic zero.

Keywords

Cite

@article{arxiv.2511.01772,
  title  = {Non-normalized Nash blowup fails to resolve singularities in dimension three},
  author = {Federico Castillo and Daniel Duarte and Maximiliano Leyton-Álvarez and Alvaro Liendo},
  journal= {arXiv preprint arXiv:2511.01772},
  year   = {2025}
}

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8 pages