Équidistribution vers le courant de Green

Frédéric Protin

Annales Polonici Mathematici (2015)

  • Volume: 115, Issue: 3, page 201-218
  • ISSN: 0066-2216

Abstract

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We establish an equidistribution result for the pull-back of a (1,1)-closed positive current in ℂ² by a proper polynomial map of small topological degree. We also study convergence at infinity on good compactifications of ℂ². We make use of a lemma that enables us to control the blow-up of some integrals in the neighborhood of a big logarithmic singularity of a plurisubharmonic function. Finally, we discuss the importance of the properness hypothesis, and we give some results in the case where this hypothesis is omitted.

How to cite

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Frédéric Protin. "Équidistribution vers le courant de Green." Annales Polonici Mathematici 115.3 (2015): 201-218. <http://eudml.org/doc/280152>.

@article{FrédéricProtin2015,
author = {Frédéric Protin},
journal = {Annales Polonici Mathematici},
keywords = {complex dynamics; green's current; Lelong number},
language = {fre},
number = {3},
pages = {201-218},
title = {Équidistribution vers le courant de Green},
url = {http://eudml.org/doc/280152},
volume = {115},
year = {2015},
}

TY - JOUR
AU - Frédéric Protin
TI - Équidistribution vers le courant de Green
JO - Annales Polonici Mathematici
PY - 2015
VL - 115
IS - 3
SP - 201
EP - 218
LA - fre
KW - complex dynamics; green's current; Lelong number
UR - http://eudml.org/doc/280152
ER -

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