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Examples of Minimal Laminations and Associated Currents

2010/02/14 by John Erik Fornæss, Nessim Sibony, Fornaess, John Erik +3
Mathematics · Physics and Astronomy · #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1002.2779

openalex publication_date 2010/02/14 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

In this paper, we construct various examples of holomorphic laminations, with leaves of dimension 1, and we also study some of their dynamical properties. In particular we study existence and uniqueness of positive closed currents. We construct minimal laminations with infinitely many mutually singular closed currents and no non-closed harmonic current. We also consider embeddings to projective space.

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