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arXiv · 2511.01772

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

Federico Castillo·Daniel Duarte·Maximiliano Leyton-Álvarez·Alvaro Liendo
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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.

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Federico Castillo, Daniel Duarte, Maximiliano Leyton-Álvarez, Alvaro Liendo. 2025-11-03. Non-normalized Nash blowup fails to resolve singularities in dimension three. https://arxiv.org/abs/2511.01772

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