Various approaches to products of residue currents

Richard Lärkäng; Håkan Samuelsson

doi:10.1016/j.jfa.2012.10.004

Various approaches to products of residue currents

Complex Variables 2013-01-10 v3

Authors: Richard Lärkäng , Håkan Samuelsson

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Abstract

We describe various approaches to Coleff-Herrera products of residue currents $R^j$ (of Cauchy-Fantappi\`e-Leray type) associated to holomorphic mappings $f_j$ . More precisely, we study to which extent (exterior) products of natural regularizations of the individual currents $R^j$ yield regularizations of the corresponding Coleff-Herrera products. Our results hold globally on an arbitrary pure-dimensional complex space.

Keywords

residue current Coleff-Herrera product holomorphic mapping regularization complex space

Cite

@article{arxiv.1005.2056,
  title  = {Various approaches to products of residue currents},
  author = {Richard Lärkäng and Håkan Samuelsson},
  journal= {arXiv preprint arXiv:1005.2056},
  year   = {2013}
}

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23 pages, rewritten introduction

Various approaches to products of residue currents

Abstract

Keywords

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