The space of foliations on projective spaces in positive characteristic
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916694522331136 |
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| author | Mendson, Wodson Pereira, Jorge Vitório |
| author_facet | Mendson, Wodson Pereira, Jorge Vitório |
| contents | This work explores the space of foliations on projective spaces over algebraically closed fields of positive characteristic, with a particular focus on the codimension one case. It describes how the irreducible components of these spaces varies with the characteristic of the base field in very low degrees and establishes an arbitrary characteristic version of Calvo-Andrade's stability of generic logarithmic $1$-forms under deformation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_12910 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The space of foliations on projective spaces in positive characteristic Mendson, Wodson Pereira, Jorge Vitório Algebraic Geometry 32S65, 13N15, 13A35 This work explores the space of foliations on projective spaces over algebraically closed fields of positive characteristic, with a particular focus on the codimension one case. It describes how the irreducible components of these spaces varies with the characteristic of the base field in very low degrees and establishes an arbitrary characteristic version of Calvo-Andrade's stability of generic logarithmic $1$-forms under deformation. |
| title | The space of foliations on projective spaces in positive characteristic |
| topic | Algebraic Geometry 32S65, 13N15, 13A35 |
| url | https://arxiv.org/abs/2504.12910 |