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Download fileCohomological Insights for Complex Surface Automorphisms with Positive Entropy
thesis
posted on 2013-10-24, 00:00 authored by Paul ReschkeI 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, LauraDepartment
Mathematics, Statistics, and Computer ScienceDegree Grantor
University of Illinois at ChicagoDegree Level
- Doctoral
Committee Member
Coskun, Izzet Hadian-Jazi, Majid Koch, Sarah Takloo-Bighash, RaminSubmitted date
2013-08Language
- en