A criterion for parabolic vector bundles to admit a parabolic Lie algebroid connection
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917445440110592 |
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| author | Alfaya, David Bansal, Ashima Biswas, Indranil Singh, Anoop |
| author_facet | Alfaya, David Bansal, Ashima Biswas, Indranil Singh, Anoop |
| contents | Given a holomorphic Lie algebroid $(V, ϕ)$ on a compact connected Riemann surface $X$, we give a necessary and sufficient condition for a parabolic vector bundle on $X$, with parabolic structure over a nonzero reduced effective divisor, to admit a parabolic Lie algebroid connection for the Lie algebroid $(V, ϕ)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_26270 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A criterion for parabolic vector bundles to admit a parabolic Lie algebroid connection Alfaya, David Bansal, Ashima Biswas, Indranil Singh, Anoop Algebraic Geometry Differential Geometry 14H60 (Primary) 53B15, 70G45 (Secondary) Given a holomorphic Lie algebroid $(V, ϕ)$ on a compact connected Riemann surface $X$, we give a necessary and sufficient condition for a parabolic vector bundle on $X$, with parabolic structure over a nonzero reduced effective divisor, to admit a parabolic Lie algebroid connection for the Lie algebroid $(V, ϕ)$. |
| title | A criterion for parabolic vector bundles to admit a parabolic Lie algebroid connection |
| topic | Algebraic Geometry Differential Geometry 14H60 (Primary) 53B15, 70G45 (Secondary) |
| url | https://arxiv.org/abs/2604.26270 |