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Meromorphic connections on vector bundles over curves


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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  1. Atiyah M F, Complex analytic connections in fibre bundles, Trans. Amer. Math. Soc. 85 (1957) 181–207

  2. Biswas I, A criterion for flatness of sections of adjoint bundle of a holomorphic principal bundle over a Riemann surface, Documenta Math. (to appear)

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

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

  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

  6. Weil A, Généralisation des fonctions abéliennes, Jour. Math. Pure Appl. 17 (1938) 47–87

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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).

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  • Meromorphic connection
  • filtered bundle
  • Atiyah bundle

2000 Mathematics Subject Classification

  • 14H60
  • 14F05
  • 53C07.