Higher Nash blowups
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arXiv
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| Format: | Preprint |
| Published: |
2005
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| _version_ | 1866909120348553216 |
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| author | Yasuda, Takehiko |
| author_facet | Yasuda, Takehiko |
| contents | For each non-negative integer $n$, we define the $n$-th Nash blowup of an algebraic variety, and call them all higher Nash blowups. When $n=1$, it coincides with the classical Nash blowup. We study higher Nash blowups of curves in detail and prove that any curve in characteristic zero can be desingularized by its $n$-th Nash blowup with $n$ large enough. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0512184 |
| institution | arXiv |
| publishDate | 2005 |
| record_format | arxiv |
| spellingShingle | Higher Nash blowups Yasuda, Takehiko Algebraic Geometry 14E15, 14B12 For each non-negative integer $n$, we define the $n$-th Nash blowup of an algebraic variety, and call them all higher Nash blowups. When $n=1$, it coincides with the classical Nash blowup. We study higher Nash blowups of curves in detail and prove that any curve in characteristic zero can be desingularized by its $n$-th Nash blowup with $n$ large enough. |
| title | Higher Nash blowups |
| topic | Algebraic Geometry 14E15, 14B12 |
| url | https://arxiv.org/abs/math/0512184 |