Distinguished Line Bundles for Complex Surface Automorphisms
classification
🧮 math.DS
math.AGmath.CV
keywords
automorphismsentropypropertiesactionsbundlescomplexlinepositive
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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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