On the Resolutions of Non-Dicritical Foliations
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910372067278848 |
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| author | Carter, Philip J. |
| author_facet | Carter, Philip J. |
| contents | We introduce the jet schemes of a holomorphic foliation, and thereby prove an alternate characterisation of simple singularities of codimension-$1$ foliations, independent of any normal form. This leads to an equivalent condition for the existence of a desingularisation in the non-dicritical case. We then prove that such a desingularisation always exists, at least on the level of germs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_11094 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the Resolutions of Non-Dicritical Foliations Carter, Philip J. Algebraic Geometry Complex Variables We introduce the jet schemes of a holomorphic foliation, and thereby prove an alternate characterisation of simple singularities of codimension-$1$ foliations, independent of any normal form. This leads to an equivalent condition for the existence of a desingularisation in the non-dicritical case. We then prove that such a desingularisation always exists, at least on the level of germs. |
| title | On the Resolutions of Non-Dicritical Foliations |
| topic | Algebraic Geometry Complex Variables |
| url | https://arxiv.org/abs/2203.11094 |