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

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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Veröffentlicht in:arXiv.org 2015-08
Hauptverfasser: Reschke, Paul, Bar Roytman
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2331-8422