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Parabolic vector bundles and Lie algebroid connections
| dc.contributor.author | Alfaya Sánchez, David | es-ES |
| dc.contributor.author | Biswas, Indranil | es-ES |
| dc.contributor.author | Kumar, Pradip | es-ES |
| dc.contributor.author | Singh, Anoop | es-ES |
| dc.date.accessioned | 2026-01-23T05:19:02Z | |
| dc.date.available | 2026-01-23T05:19:02Z | |
| dc.date.issued | 2025-12-29 | es_ES |
| dc.identifier.issn | 0008-414X | es_ES |
| dc.identifier.uri | https://doi.org/10.4153/S0008414X25101983 | es_ES |
| dc.description | Artículos en revistas | es_ES |
| dc.description.abstract | Given a holomorphic Lie algebroid on an m-pointed connected Riemann surface, we define parabolic Lie algebroid connections on any parabolic vector bundle equipped with parabolic structure over the marked points. An analog of the Atiyah exact sequence for parabolic Lie algebroids is constructed. For any Lie algebroid whose underlying holomorphic vector bundle is stable, we give a complete characterization of all the parabolic vector bundles that admit a parabolic Lie algebroid connection. | es-ES |
| dc.description.abstract | Given a holomorphic Lie algebroid on an m-pointed connected Riemann surface, we define parabolic Lie algebroid connections on any parabolic vector bundle equipped with parabolic structure over the marked points. An analog of the Atiyah exact sequence for parabolic Lie algebroids is constructed. For any Lie algebroid whose underlying holomorphic vector bundle is stable, we give a complete characterization of all the parabolic vector bundles that admit a parabolic Lie algebroid connection. | en-GB |
| dc.format.mimetype | application/octet-stream | es_ES |
| dc.language.iso | en-GB | es_ES |
| dc.source | Revista: Canadian Journal of Mathematics, Periodo: 1, Volumen: En imprenta, Número: , Página inicial: 0, Página final: 0 | es_ES |
| dc.subject.other | Instituto de Investigación Tecnológica (IIT) | es_ES |
| dc.title | Parabolic vector bundles and Lie algebroid connections | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.description.version | info:eu-repo/semantics/publishedVersion | es_ES |
| dc.rights.holder | es_ES | |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
| dc.keywords | Parabolic bundle; Lie algebroid connection; Atiyah exact sequence; stable bundle; Fibrado parabólico, conexiones sobre algebroides de Lie, sucesión exacta de Atiyah, fibrado estable. | es-ES |
| dc.keywords | Parabolic bundle; Lie algebroid connection; Atiyah exact sequence; stable bundle; Fibrado parabólico, conexiones sobre algebroides de Lie, sucesión exacta de Atiyah, fibrado estable. | en-GB |
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