Characteristic-free normalized Nash blowup of toric varieties
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866909465041698816 |
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| author | Castillo, Federico Duarte, Daniel Leyton-Álvarez, Maximiliano Liendo, Alvaro |
| author_facet | Castillo, Federico Duarte, Daniel Leyton-Álvarez, Maximiliano Liendo, Alvaro |
| contents | 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 non-singular in arbitrary characteristic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_09811 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Characteristic-free normalized Nash blowup of toric varieties Castillo, Federico Duarte, Daniel Leyton-Álvarez, Maximiliano Liendo, Alvaro Algebraic Geometry 14B05, 14E15, 14M25, 52B20 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 non-singular in arbitrary characteristic. |
| title | Characteristic-free normalized Nash blowup of toric varieties |
| topic | Algebraic Geometry 14B05, 14E15, 14M25, 52B20 |
| url | https://arxiv.org/abs/2501.09811 |