An explicit normal singular affine toric variety of dimension five in characteristic three has its normalized Nash blowup containing an open affine subset isomorphic to itself, yielding one-step counterexamples to the normalized Nash blowup conjecture in all dimensions five and higher.
Resolution of singularities: an introduction
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A one-step counterexample to the normalized Nash blowup conjecture
An explicit normal singular affine toric variety of dimension five in characteristic three has its normalized Nash blowup containing an open affine subset isomorphic to itself, yielding one-step counterexamples to the normalized Nash blowup conjecture in all dimensions five and higher.