Distinguished Line Bundles for Complex Surface Automorphisms
Dynamical Systems
2014-01-31 v3 Algebraic Geometry
Complex Variables
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.
Cite
@article{arxiv.1205.1074,
title = {Distinguished Line Bundles for Complex Surface Automorphisms},
author = {Paul Reschke},
journal= {arXiv preprint arXiv:1205.1074},
year = {2014}
}
Comments
To appear in Transform. Groups. (The final publication will be available at springerlink.com.)