Arkiv för Matematik

A residue criterion for strong holomorphicity

Mats Andersson

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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.


The author was partially supported by the Swedish Research Council.

Article information

Ark. Mat., Volume 48, Number 1 (2010), 1-15.

Received: 21 January 2008
Revised: 23 February 2009
First available in Project Euclid: 31 January 2017

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2009 © Institut Mittag-Leffler


Andersson, Mats. A residue criterion for strong holomorphicity. Ark. Mat. 48 (2010), no. 1, 1--15. doi:10.1007/s11512-009-0100-x.

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