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Products of residue currents of Cauchy–Fantappiè–Leray type

Elizabeth Wulcan Department of Mathematical Sciences, Chalmers University of Technology and Department of Mathematical Sciences Göteborg University

TBD mathscidoc:1701.333101

Arkiv for Matematik, 45, (1), 157-178, 2005.12
With a given holomorphic section of a Hermitian vector bundle, one can associate a residue current by means of Cauchy–Fantappiè–Leray type formulas. In this paper we define products of such residue currents. We prove that, in the case of a complete intersection, the product of the residue currents of a tuple of sections coincides with the residue current of the direct sum of the sections.
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@inproceedings{elizabeth2005products,
  title={Products of residue currents of Cauchy–Fantappiè–Leray type},
  author={Elizabeth Wulcan},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203619397945910},
  booktitle={Arkiv for Matematik},
  volume={45},
  number={1},
  pages={157-178},
  year={2005},
}
Elizabeth Wulcan. Products of residue currents of Cauchy–Fantappiè–Leray type. 2005. Vol. 45. In Arkiv for Matematik. pp.157-178. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203619397945910.
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