Open Access
April 2010 A residue criterion for strong holomorphicity
Mats Andersson
Author Affiliations +
Ark. Mat. 48(1): 1-15 (April 2010). DOI: 10.1007/s11512-009-0100-x

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.

Funding Statement

The author was partially supported by the Swedish Research Council.

Citation

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

Information

Received: 21 January 2008; Revised: 23 February 2009; Published: April 2010
First available in Project Euclid: 31 January 2017

zbMATH: 1198.32001
MathSciNet: MR2594583
Digital Object Identifier: 10.1007/s11512-009-0100-x

Rights: 2009 © Institut Mittag-Leffler

Vol.48 • No. 1 • April 2010
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