Local regularity of super-potentials and equidistribution of positive closed currents of ℙ^k

2016/07/14 by Ahn, Taeyong
#32H50 #32U40 #37F10 #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1607.03988

Abstract

In this paper, we introduce notions about local regularity of the super-potential and prove equidistribution of positive closed (p, p)-currents of ℙ^k whose super-potentials are bounded near an invariant analytic subset, for holomorphic endomorphisms of ℙ^k and for regular polynomial automorphisms of ℂ^k.

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