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Distinguished Line Bundles for Complex Surface Automorphisms

2012/05/04 by Paul Reschke, Reschke, Paul
Mathematics · #Algebraic Geometry and Number Theory #Geometry and complex manifolds #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1205.1074

Abstract

We equate dynamical properties (e.g., positive entropy, existence of a periodic curve) of complex projective surface automorphisms with properties of the pull-back actions of such automorphisms on line bundles. We use the properties of the cohomological actions to describe the measures of maximal entropy for automorphisms with positive entropy.

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