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arxiv: 1508.04681 · v1 · pith:NHB2DR3Znew · submitted 2015-08-19 · 🧮 math.DS · math.AG

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

classification 🧮 math.DS math.AG
keywords automorphismsentropiesfamilylowersurfacevarycomputeentropy
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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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