An equidistribution theorem for certain birational maps of ℙk

2021/02/19 by Taeyong Ahn
Mathematics · #Advanced Differential Equations and Dynamical Systems #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals

paper · doi:10.1142/s0129167x21500178

openalex publication_date 2021/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove an equidistribution theorem of positive closed currents for a certain class of birational maps [Formula: see text] of algebraic degree [Formula: see text] satisfying [Formula: see text], where [Formula: see text] is the inverse of [Formula: see text] and [Formula: see text] are the sets of indeterminacy for [Formula: see text], respectively.

Citations

• Super-potentials, densities of currents and number of periodic points\n for holomorphic maps

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