DOI: 10.1112/jlms.70740 ISSN: 0024-6107

Characteristic‐free normalized Nash blowup of toric varieties

Federico Castillo, Daniel Duarte, Maximiliano Leyton‐Álvarez, Alvaro Liendo
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Abstract

We introduce conditions on cones of normal toric varieties under which the polyhedron defining the normalized Nash blowup does not depend on the characteristic of the base field. As a consequence, we deduce several results on the resolution of singularities properties of normalized Nash blowups. In particular, we recover all known results of the families that can be resolved via normalized Nash blowups in positive characteristic. We also provide new families of toric varieties whose normalized Nash blowup is nonsingular in arbitrary characteristic.

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