Distinguished Line Bundles for Complex Surface Automorphisms

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.

To appear in Transform. Groups. (The final publication will be available at springerlink.com.)