Enriques surfaces of zero entropy

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arxiv 2406.18407 v1 pith:S4WMV6DS submitted 2024-06-26 math.AG

Gebhard Martin , Giacomo Mezzedimi , Davide Cesare Veniani This is my paper · ORCID

classification math.AG

keywords enriquessurfacesentropyzeroabelianautomorphismclassifyequivalently

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We classify Enriques surfaces of zero entropy, or, equivalently, Enriques surfaces with a virtually abelian automorphism group.

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Orbits of smooth rational curves on Enriques surfaces
math.AG 2025-07 conditional novelty 8.0 of 10

The number of automorphism orbits of smooth rational curves on an Enriques surface equals a weighted sum of orbit counts of the ADE components of its Nikulin root invariant under the Vinberg group.