Lower Semi-Continuity of Entropy in a Family of K3 Surface Automorphisms

Paul Reschke; Bar Roytman

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arXiv · 1508.04681

Lower Semi-Continuity of Entropy in a Family of K3 Surface Automorphisms

Paul Reschke·Bar Roytman

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Abstract

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 the Picard ranks of the K3 surfaces vary.

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Paul Reschke, Bar Roytman. 2015-08-19. Lower Semi-Continuity of Entropy in a Family of K3 Surface Automorphisms. https://arxiv.org/abs/1508.04681

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