Davide Cesare Veniani

activity

20232025

collaborators

4 papers

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.

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.

math.NT2023

Hensel lifting algorithms for quadratic forms

Simon Brandhorst, Davide Cesare Veniani

We provide an algorithm to compute generators of the orthogonal group of the discriminant group associated to an integral quadratic lattice over the integers. We give a closed form…