Meromorphic connections on vector bundles over curves

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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    Biswas I and Heu V, Holomorphic connections on filtered bundles with given connection on the graded bundle, preprint

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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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Keywords

  • Meromorphic connection
  • filtered bundle
  • Atiyah bundle

2000 Mathematics Subject Classification

  • 14H60
  • 14F05
  • 53C07.