Distinguished Line Bundles for Complex Surface Automorphisms
  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. 
Paul Reschke
math.DS math.AG math.CV