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Regularity of the equilibrium measure for meromorphic correspondences

2023/01/30 by Tien‐Cuong Dinh, Hao Wu, Dinh, Tien-Cuong +1
Mathematics · #32H #32U40 #37F05 #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometry and complex manifolds #Mathematical Dynamics and Fractals #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.2301.12786

openalex publication_date 2023/01/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let f be a meromorphic correspondence on a compact Kähler manifold X of dimension k. Assume that its topological degree is larger than the dynamical degree of order k-1. We obtain a quantitative regularity of the equilibrium measure of f in terms of its super-potentials.

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