Reschke_Paul.pdf (429.47 kB)
Download file

Cohomological Insights for Complex Surface Automorphisms with Positive Entropy

Download (429.47 kB)
thesis
posted on 24.10.2013, 00:00 by Paul Reschke
I equate dynamical properties (e.g., positive entropy, existence of a periodic curve) of complex surface automorphisms with properties of the pull-back actions of such automorphisms on line bundles. I use these results to describe the measures of maximal entropy for positive-entropy surface automorphisms and to completely characterize the possible values of entropy for two-dimensional complex torus automorphisms.

History

Advisor

DeMarco, Laura

Department

Mathematics, Statistics, and Computer Science

Degree Grantor

University of Illinois at Chicago

Degree Level

Doctoral

Committee Member

Coskun, Izzet Hadian-Jazi, Majid Koch, Sarah Takloo-Bighash, Ramin

Submitted date

2013-08

Language

en

Issue date

24/10/2013

Usage metrics

Categories

Exports