Cohomological Insights for Complex Surface Automorphisms with Positive Entropy
thesisposted on 2013-10-24, 00:00 authored 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.
DepartmentMathematics, Statistics, and Computer Science
Degree GrantorUniversity of Illinois at Chicago
Committee MemberCoskun, Izzet Hadian-Jazi, Majid Koch, Sarah Takloo-Bighash, Ramin