Functorial embedded resolution via weighted blowings up
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2019
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| _version_ | 1866914950845300736 |
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| author | Abramovich, Dan Temkin, Michael Włodarczyk, Jarosław |
| author_facet | Abramovich, Dan Temkin, Michael Włodarczyk, Jarosław |
| contents | We provide a procedure for resolving, in characteristic 0, singularities of a variety $X$ embedded in a smooth variety $Y$ by repeatedly blowing up the worst singularities, in the sense of stack-theoretic weighted blowings up. No history, no exceptional divisors, and no logarithmic structures are necessary to carry this out; the steps are explicit geometric operations requiring no choices; and the resulting algorithm is efficient. A similar result was discovered independently by McQuillan in a manuscript posted on this archive simultaneously. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1906_07106 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Functorial embedded resolution via weighted blowings up Abramovich, Dan Temkin, Michael Włodarczyk, Jarosław Algebraic Geometry 14E15, 14A20, 14M25 We provide a procedure for resolving, in characteristic 0, singularities of a variety $X$ embedded in a smooth variety $Y$ by repeatedly blowing up the worst singularities, in the sense of stack-theoretic weighted blowings up. No history, no exceptional divisors, and no logarithmic structures are necessary to carry this out; the steps are explicit geometric operations requiring no choices; and the resulting algorithm is efficient. A similar result was discovered independently by McQuillan in a manuscript posted on this archive simultaneously. |
| title | Functorial embedded resolution via weighted blowings up |
| topic | Algebraic Geometry 14E15, 14A20, 14M25 |
| url | https://arxiv.org/abs/1906.07106 |