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On the directional Lelong-Demailly numbers of positive currents

Complex Variables 2014-01-21 v1

Abstract

In this paper we study the existence of the directional Lelong-Demailly numbers of positive plurisubharmonic or plurisuperharmonic currents. We prove the independence of these numbers to the system of coordinates. Moreover these numbers will be given by locally integrable functions.

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Cite

@article{arxiv.1401.4920,
  title  = {On the directional Lelong-Demailly numbers of positive currents},
  author = {Mohamed Zaway and Haithem Hawari and Noureddine Ghiloufi},
  journal= {arXiv preprint arXiv:1401.4920},
  year   = {2014}
}

Comments

12 pages