Equidistribution speed towards the Green current for endomorphisms of P^k

2010/11/02 by Johan Taflin, Taflin, Johan · 2 citations
Mathematics · #Advanced Differential Equations and Dynamical Systems #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1011.0641

openalex publication_date 2010/11/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let f be a non-invertible holomorphic endomorphism of P^k. For a hypersurface H of P^k, generic in the Zariski sense, we give an explicit speed of convergence of f^-n(H) towards the dynamical Green (1,1)-current of f.

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• log-Hölder regularity of currents and equidistribution towards Green currents
• Equidistribution of varieties for endomorphisms of projective spaces

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