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Nash blowup fails to resolve singularities in dimensions four and higher
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DOI：10.4007/annals.2026.203.2.7.png)
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Abstract
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In this paper we show that iterating Nash blowups or normalized Nash blowups does not resolve the singularities of algebraic varieties of dimension four or higher over an algebraically closed field of arbitrary characteristic.
Keywords:
Resolution of singularities
Nash blowup
Toric varieties
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