Universal flattening of Frobenius
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2007
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| _version_ | 1866917596119433216 |
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| author | Yasuda, Takehiko |
| author_facet | Yasuda, Takehiko |
| contents | For a variety $X$ of positive characteristic and a non-negative integer $e$, we define its $e$-th F-blowup to be the universal flattening of the $e$-iterated Frobenius of $X$. Thus we have the sequence (a set labeled by non-negative integers) of blowups of $X$. Under some condition, the sequence stabilizes and leads to a nice (for instance, minimal or crepant) resolution. For tame quotient singularities, the sequence leads to the $G$-Hilbert scheme. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0706_2700 |
| institution | arXiv |
| publishDate | 2007 |
| record_format | arxiv |
| spellingShingle | Universal flattening of Frobenius Yasuda, Takehiko Algebraic Geometry Commutative Algebra 14E15, 13P10 For a variety $X$ of positive characteristic and a non-negative integer $e$, we define its $e$-th F-blowup to be the universal flattening of the $e$-iterated Frobenius of $X$. Thus we have the sequence (a set labeled by non-negative integers) of blowups of $X$. Under some condition, the sequence stabilizes and leads to a nice (for instance, minimal or crepant) resolution. For tame quotient singularities, the sequence leads to the $G$-Hilbert scheme. |
| title | Universal flattening of Frobenius |
| topic | Algebraic Geometry Commutative Algebra 14E15, 13P10 |
| url | https://arxiv.org/abs/0706.2700 |