3 papers
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…
math.AG2025
Idoneal genera and K3 surfaces covering an Enriques surface
Simon Brandhorst, Serkan Sonel, Davide Cesare Veniani
Idoneal genera are a generalization of Euler's idoneal numbers. We enumerate all idoneal genera by means of the Smith--Minkowski--Siegel mass formula. As an application, we classif…
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.