Open Access
April 2012 Residue currents associated with weakly holomorphic functions
Richard Lärkäng
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Ark. Mat. 50(1): 135-164 (April 2012). DOI: 10.1007/s11512-010-0141-1


We construct Coleff–Herrera products and Bochner–Martinelli type residue currents associated with a tuple f of weakly holomorphic functions, and show that these currents satisfy basic properties from the (strongly) holomorphic case. This include the transformation law, the Poincaré–Lelong formula and the equivalence of the Coleff–Herrera product and the Bochner–Martinelli type residue current associated with f when f defines a complete intersection.


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Richard Lärkäng. "Residue currents associated with weakly holomorphic functions." Ark. Mat. 50 (1) 135 - 164, April 2012.


Received: 26 November 2009; Revised: 17 August 2010; Published: April 2012
First available in Project Euclid: 31 January 2017

zbMATH: 1269.32001
MathSciNet: MR2890348
Digital Object Identifier: 10.1007/s11512-010-0141-1

Rights: 2011 © Institut Mittag-Leffler

Vol.50 • No. 1 • April 2012
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