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Residue currents associated with weakly holomorphic functions

Richard Lärkäng Department of Mathematics, Chalmers University of Technology and University of Gothenburg

Complex Variables and Complex Analysis Differential Geometry mathscidoc:1701.08006

Arkiv for Matematik, 50, (1), 135-164, 2009.11
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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@inproceedings{richard2009residue,
  title={Residue currents associated with weakly holomorphic functions},
  author={Richard Lärkäng},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203631668944013},
  booktitle={Arkiv for Matematik},
  volume={50},
  number={1},
  pages={135-164},
  year={2009},
}
Richard Lärkäng. Residue currents associated with weakly holomorphic functions. 2009. Vol. 50. In Arkiv for Matematik. pp.135-164. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203631668944013.
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