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Meromorphic connections on vector bundles over curves

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Abstract

We give a criterion for filtered vector bundles over curves to admit a filtration preserving meromorphic connection that induces a given meromorphic connection on the corresponding graded bundle.

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References

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  3. Biswas I and Heu V, Holomorphic connections on filtered bundles over curves, preprint

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  5. Esnault H and Viehweg E, Semistable bundles on curves and irreducible representations of the fundamental group. Algebraic geometry: Hirzebruch 70 (Warsaw, 1998), 129–138, Contemp. Math., 241, Amer. Math. Soc., Providence, RI 1999

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Acknowledgements

The authors would like to thank Carlo Gasbarri for many inspiring discussions on this topic.

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Correspondence to VIKTORIA HEU.

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BISWAS, I., HEU, V. Meromorphic connections on vector bundles over curves. Proc Math Sci 124, 487–496 (2014). https://doi.org/10.1007/s12044-014-0201-8

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  • DOI: https://doi.org/10.1007/s12044-014-0201-8

Keywords

2000 Mathematics Subject Classification

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