Gebhard Martin

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20242026

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math.AG2026

Enriques' characterization of Abelian surfaces in positive characteristic

Jefferson Baudin, Gebhard Martin

Extending Enriques' characterization to algebraically closed fields of characteristic $p \geq 7$ , we show that every smooth projective surface $X$ with $h^{1} (X, O_{X}) = 2$ …

math.AG2025

The Enriques surface of minimal entropy

Gebhard Martin, Giacomo Mezzedimi, Davide Cesare Veniani

Lehmer's number $λ_{10}$ is the smallest dynamical degree greater than $1$ that can occur for an automorphism of an algebraic surface. We show that $λ_{10}$ 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.