Formal splitting and stack-theoretic normal crossings desingularization
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866911530848616448 |
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| author | da Silva, André Belotto Bernard, François Bierstone, Edward |
| author_facet | da Silva, André Belotto Bernard, François Bierstone, Edward |
| contents | We show that stack-theoretic resolution of singularities preserving normal crossings (partial desingularization) by weighted blowings-up, can be obtained in a simple direct way from a splitting theorem of the first and third authors, using the algorithm of Abramovich, Temkin and Włodarczyk for resolution of singularities by weighted blowings-up. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_19365 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Formal splitting and stack-theoretic normal crossings desingularization da Silva, André Belotto Bernard, François Bierstone, Edward Algebraic Geometry Complex Variables Primary 14B05, 14E05, 32S45, Secondary 14E15, 32S05 We show that stack-theoretic resolution of singularities preserving normal crossings (partial desingularization) by weighted blowings-up, can be obtained in a simple direct way from a splitting theorem of the first and third authors, using the algorithm of Abramovich, Temkin and Włodarczyk for resolution of singularities by weighted blowings-up. |
| title | Formal splitting and stack-theoretic normal crossings desingularization |
| topic | Algebraic Geometry Complex Variables Primary 14B05, 14E05, 32S45, Secondary 14E15, 32S05 |
| url | https://arxiv.org/abs/2603.19365 |