On monotonicity of F-blowup sequences
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arXiv
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| Format: | Preprint |
| Publié: |
2008
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| _version_ | 1866913241727238144 |
|---|---|
| author | Yasuda, Takehiko |
| author_facet | Yasuda, Takehiko |
| contents | For each variety in positive characteristic, there is a series of canonically defined blowups, called F-blowups. We are interested in the question of whether the $e+1$-th blowup dominates the $e$-th, locally or globally. It is shown that the answer is affirmative (globally for any $e$) when the given variety is F-pure. As a corollary, we obtain some result on the stability of the sequence of F-blowups. We also give a sufficient condition for local domination. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0803_3373 |
| institution | arXiv |
| publishDate | 2008 |
| record_format | arxiv |
| spellingShingle | On monotonicity of F-blowup sequences Yasuda, Takehiko Algebraic Geometry Commutative Algebra 14B05 (Primary) 14E05, 13A35 (Secondary) For each variety in positive characteristic, there is a series of canonically defined blowups, called F-blowups. We are interested in the question of whether the $e+1$-th blowup dominates the $e$-th, locally or globally. It is shown that the answer is affirmative (globally for any $e$) when the given variety is F-pure. As a corollary, we obtain some result on the stability of the sequence of F-blowups. We also give a sufficient condition for local domination. |
| title | On monotonicity of F-blowup sequences |
| topic | Algebraic Geometry Commutative Algebra 14B05 (Primary) 14E05, 13A35 (Secondary) |
| url | https://arxiv.org/abs/0803.3373 |