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Équidistribution vers le courant de Green

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Protin F.

Annales Polonici Mathematici

2015

tom 115

nr 3

201-218

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.

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1 Annales Polonici Mathematici

1 Protin F.

1 2015

Wyniki wyszukiwania

Équidistribution vers le courant de Green