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A residue criterion for strong holomorphicity

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Arkiv för Matematik

Abstract

We give a local criterion in terms of a residue current for strong holomorphicity of a meromorphic function on an arbitrary pure-dimensional analytic variety. This generalizes a result by A. Tsikh for the case of a reduced complete intersection.

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Authors and Affiliations

  1. Department of Mathematics, Chalmers University of Technology, SE-412 96, Göteborg, Sweden

    Mats Andersson

  2. Department of Mathematics, University of Göteborg, SE-412 96, Göteborg, Sweden

    Mats Andersson

Authors
  1. Mats Andersson
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Correspondence to Mats Andersson.

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The author was partially supported by the Swedish Research Council.

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Andersson, M. A residue criterion for strong holomorphicity. Ark Mat 48, 1–15 (2010). https://doi.org/10.1007/s11512-009-0100-x

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  • DOI: https://doi.org/10.1007/s11512-009-0100-x

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