6 citations · 11 across the 13 of their papers we have counts for
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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…
On hyperbolic lattices whose reduced automorphism group is virtually abelian
Simon Brandhorst, Markus Kirschmer, Giacomo Mezzedimi
We give a classification of even integral lattices with virtually abelian reduced automorphism group. As a consequence, we complete the classification of K3 surfaces with virtually…
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.
Non-thin rational points for elliptic K3 surfaces
Damián Gvirtz-Chen, Giacomo Mezzedimi
We prove that elliptic K3 surfaces over a number field which admit a second elliptic fibration satisfy the potential Hilbert property. Equivalently, the set of their rational point…
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.
Borcherds lattices and K3 surfaces of zero entropy
Simon Brandhorst, Giacomo Mezzedimi
Let be an even, hyperbolic lattice with infinitely many simple -roots. We call a Borcherds lattice if it admits an isotropic vector with bounded inner product with al…
Enriques surfaces of non-degeneracy 3
Gebhard Martin, Giacomo Mezzedimi, Davide Cesare Veniani
We classify all non-extendable 3-sequences of half-fibers on Enriques surfaces. If the characteristic is different from 2, we prove in particular that every Enriques surface admits…
On extra-special Enriques surfaces
Gebhard Martin, Giacomo Mezzedimi, Davide Cesare Veniani
We refine Cossec and Dolgachev's classification of extra-special Enriques surfaces, providing a complete and concise proof.
A Hilbert Irreducibility Theorem for Enriques surfaces
Damián Gvirtz-Chen, Giacomo Mezzedimi
We define the over-exceptional lattice of a minimal algebraic surface of Kodaira dimension 0. Bounding the rank of this object, we prove that a conjecture by Campana and Corvaja--Z…
Unirational moduli spaces of some elliptic K3 surfaces
Mauro Fortuna, Michael Hoff, Giacomo Mezzedimi
We show that the moduli space of -polarized K3 surfaces is unirational for and , and for other several values of $…
The Kodaira dimension of some moduli spaces of elliptic K3 surfaces
Mauro Fortuna, Giacomo Mezzedimi
We study the moduli spaces of elliptic K3 surfaces of Picard number at least 3, i.e. -polarized K3 surfaces. Such moduli spaces are proved to be of gen…
K3 Surfaces of zero entropy admitting an elliptic fibration with only irreducible fibers
Giacomo Mezzedimi
We classify complex K3 surfaces of zero entropy admitting an elliptic fibration with only irreducible fibers. These surfaces are characterized by the fact that they admit a unique…