4 papers
Lower Semi-Continuity of Entropy in a Family of K3 Surface Automorphisms
Paul Reschke, Bar Roytman
We compute entropies in a large family of K3 surface automorphisms in (P^1)^3. In keeping with a result by Xie, we find that the entropies vary in a lower semi-continuous manner as…
Salem Numbers and Abelian Surface Automorphisms
Paul Reschke
We classify two-dimensional complex tori admitting automorphisms with positive entropy in terms of the entropies they exhibit. For each possible positive value of entropy, we descr…
Distinguished Line Bundles for Complex Surface Automorphisms
Paul Reschke
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…
Salem Numbers and Automorphisms of Complex Surfaces
Paul Reschke
For two-dimensional complex tori, we characterize the set of all values of positive entropy that arise from automorphisms. For K3 surfaces, we give suffcient conditions for a posit…