Desingularization of binomial varieties using toric Artin stacks
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866917557029568512 |
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| author | Abramovich, Dan Schober, Bernd |
| author_facet | Abramovich, Dan Schober, Bernd |
| contents | We show how the notion of fantastacks can be used to effectively desingularize binomial varieties defined over algebraically closed fields. In contrast to a desingularization via blow-ups in smooth centers, we drastically reduce the number of steps and the number of charts appearing along the process. Furthermore, we discuss how our considerations extend to a partial simultaneous normal crossings desingularization of finitely many binomial hypersurfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_08951 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Desingularization of binomial varieties using toric Artin stacks Abramovich, Dan Schober, Bernd Algebraic Geometry Commutative Algebra 13F56, 14M25, 14B05, 14J17, 14D23 We show how the notion of fantastacks can be used to effectively desingularize binomial varieties defined over algebraically closed fields. In contrast to a desingularization via blow-ups in smooth centers, we drastically reduce the number of steps and the number of charts appearing along the process. Furthermore, we discuss how our considerations extend to a partial simultaneous normal crossings desingularization of finitely many binomial hypersurfaces. |
| title | Desingularization of binomial varieties using toric Artin stacks |
| topic | Algebraic Geometry Commutative Algebra 13F56, 14M25, 14B05, 14J17, 14D23 |
| url | https://arxiv.org/abs/2208.08951 |