Equidistribution of non-pluripolar products associated with quasi-plurisubharmonic functions of finite energy

Ahn, Taeyong; Nguyen, Ngoc Cuong

doi:10.1090/proc/14725

Equidistribution of non-pluripolar products associated with quasi-plurisubharmonic functions of finite energy
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by Taeyong Ahn and Ngoc Cuong Nguyen PDF

Proc. Amer. Math. Soc. 148 (2020), 719-729 Request permission

Abstract:

In this article, we consider currents given by the $p$-fold non-pluripolar product associated with a quasi-plurisubharmonic function of finite energy, and prove that normalized pull-backs of such currents converge to the Green $(p, p)$-current exponentially fast in the sense of currents for holomorphic endomorphisms of $\mathbb {P}^k$.

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