Existence of holomorphic Lie algebroid connections in higher dimensions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911573948235776 |
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| author | Biswas, Indranil Singh, Anoop |
| author_facet | Biswas, Indranil Singh, Anoop |
| contents | Let $(V, ϕ)$ be a holomorphic Lie algebroid over an irreducible smooth complex projective variety $X$ of dimension at least three, and let $E$ be a holomorphic vector bundle on $X$. We establish a necessary and sufficient condition for the existence of a holomorphic $(V, ϕ)$--connection on $E$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_06003 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Existence of holomorphic Lie algebroid connections in higher dimensions Biswas, Indranil Singh, Anoop Algebraic Geometry 14H60, 53D17, 53B15, 32C38 Let $(V, ϕ)$ be a holomorphic Lie algebroid over an irreducible smooth complex projective variety $X$ of dimension at least three, and let $E$ be a holomorphic vector bundle on $X$. We establish a necessary and sufficient condition for the existence of a holomorphic $(V, ϕ)$--connection on $E$. |
| title | Existence of holomorphic Lie algebroid connections in higher dimensions |
| topic | Algebraic Geometry 14H60, 53D17, 53B15, 32C38 |
| url | https://arxiv.org/abs/2604.06003 |