Nash blowup fails to resolve singularities in dimensions four and higher
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912692031193088 |
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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 | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_19767 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nash blowup fails to resolve singularities in dimensions four and higher Castillo, Federico Duarte, Daniel Leyton-Álvarez, Maximiliano Liendo, Alvaro Algebraic Geometry 14B05, 14E15, 14M25 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. |
| title | Nash blowup fails to resolve singularities in dimensions four and higher |
| topic | Algebraic Geometry 14B05, 14E15, 14M25 |
| url | https://arxiv.org/abs/2409.19767 |