On codimension one holomorphic distributions on compact toric orbifolds
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| Acceso en línea: | |
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| _version_ | 1866909120547782656 |
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| author | Peña, Miguel Rodríguez |
| author_facet | Peña, Miguel Rodríguez |
| contents | The number of singularities, counted with multiplicity, of a generic codimension one holomorphic distribution on a compact toric orbifold is determined. As a consequence, we give the classification of regular distributions on rational normal scrolls and weighted projective spaces. Under certain conditions, we also prove that the singular set of a codimension one holomorphic foliation on a toric orbifold admits at least one irreducible component of codimension two, and we give a Darboux-Jouanolou type integrability theorem for codimension one holomorphic foliations. We illustrate our results with several examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_12079 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On codimension one holomorphic distributions on compact toric orbifolds Peña, Miguel Rodríguez Complex Variables The number of singularities, counted with multiplicity, of a generic codimension one holomorphic distribution on a compact toric orbifold is determined. As a consequence, we give the classification of regular distributions on rational normal scrolls and weighted projective spaces. Under certain conditions, we also prove that the singular set of a codimension one holomorphic foliation on a toric orbifold admits at least one irreducible component of codimension two, and we give a Darboux-Jouanolou type integrability theorem for codimension one holomorphic foliations. We illustrate our results with several examples. |
| title | On codimension one holomorphic distributions on compact toric orbifolds |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2206.12079 |