Finiteness of Néron-Severi lattices for K3 surfaces with non-elementary hyperbolic automorphism groups, with explicit descriptions, when Picard number ≥6.
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Gap theorems are proved for entropy norms of automorphisms on K3, Enriques, and IHS manifolds, with achirality characterized using genus-one fibrations.
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On K3 surfaces with hyperbolic automorphism groups
Finiteness of Néron-Severi lattices for K3 surfaces with non-elementary hyperbolic automorphism groups, with explicit descriptions, when Picard number ≥6.
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Gap theorems and achirality for automorphisms of K3 surfaces and Enriques surfaces
Gap theorems are proved for entropy norms of automorphisms on K3, Enriques, and IHS manifolds, with achirality characterized using genus-one fibrations.