5 papers
On symmetries of hyperbolic lattices of large rank
Torben Grabbel, Gebhard Martin, Giacomo Mezzedimi +2
For an even, integral hyperbolic lattice , the symmetry group of is the quotient of the group of isometries of by the Weyl subgroup of -reflections. Following Niku…
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…
Virtually abelian symmetry groups of hyperbolic lattices
Simon Brandhorst, Markus Kirschmer, Giacomo Mezzedimi
We give a classification of integral lattices with virtually abelian symmetry group. As a consequence, we complete the classification of K3 surfaces with virtually abelian automorp…
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…