The blow-up of a singularity at the module of derivations
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912638134386688 |
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| author | Barajas, Paul Chávez-Martínez, Enrique Romano-Velázquez, Agustín |
| author_facet | Barajas, Paul Chávez-Martínez, Enrique Romano-Velázquez, Agustín |
| contents | We study the problem of resolving singularities via the blow-up of the module of derivations. Our main results are a positive answer for the case of curves and log-canonical surface singularities, i.e., a finite sequence of blow-ups along the module of derivations resolves the singularities of such varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_07607 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The blow-up of a singularity at the module of derivations Barajas, Paul Chávez-Martínez, Enrique Romano-Velázquez, Agustín Algebraic Geometry Commutative Algebra 14B05, 14E15 We study the problem of resolving singularities via the blow-up of the module of derivations. Our main results are a positive answer for the case of curves and log-canonical surface singularities, i.e., a finite sequence of blow-ups along the module of derivations resolves the singularities of such varieties. |
| title | The blow-up of a singularity at the module of derivations |
| topic | Algebraic Geometry Commutative Algebra 14B05, 14E15 |
| url | https://arxiv.org/abs/2510.07607 |