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math.AG2025
The Enriques surface of minimal entropy
Gebhard Martin, Giacomo Mezzedimi, Davide Cesare Veniani
Lehmer's number is the smallest dynamical degree greater than that can occur for an automorphism of an algebraic surface. We show that cannot be realized by a…
math.AG2024
Enriques surfaces of zero entropy
Gebhard Martin, Giacomo Mezzedimi, Davide Cesare Veniani
We classify Enriques surfaces of zero entropy, or, equivalently, Enriques surfaces with a virtually abelian automorphism group.
math.AG2023
Nodal Enriques surfaces are Reye congruences
Gebhard Martin, Giacomo Mezzedimi, Davide Cesare Veniani
We show that every classical Enriques surface containing a smooth rational curve is a Reye congruence.