Équidistribution vers le courant de Green

• Autorzy: Frédéric Protin
• Języki publikacji: FR EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37F10: Polynomials; rational maps; entire and meromorphic functions
• 32U40: Currents

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2015
• Tom: 115
• Numer: 3
• Strony: 201-218

Daty

wydano

2015

Twórcy

autor

Frédéric Protin

• INSA Toulouse, Département GMM, 135 Avenue de Rangueil, 31400 Toulouse, France

Identyfikatory

DOI

10.4064/ap115-3-1