9 citations · 65 across the 18 of their papers we have counts for
18 papers
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…
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.
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.
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…
Symplectic rigidity of O'Grady's tenfolds
Luca Giovenzana, Annalisa Grossi, Claudio Onorati +1
We prove that any symplectic automorphism of finite order of an irreducible holomorphic symplectic manifold of O'Grady's 10-dimensional deformation type is trivial.
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.
Enriques involutions on pencils of K3 surfaces
Dino Festi, Davide Cesare Veniani
The three pencils of K3 surfaces of minimal discriminant whose general element covers at least one Enriques surface are Kondō's pencils I and II, and the Apéry--Fermi pencil. We en…
Counting elliptic fibrations on K3 surfaces
Dino Festi, Davide Cesare Veniani
We solve the problem of counting jacobian elliptic fibrations on an arbitrary complex projective K3 surface up to automorphisms. We then illustrate our method with several explicit…
Symplectic birational transformations of finite order on O'Grady's sixfolds
Annalisa Grossi, Claudio Onorati, Davide Cesare Veniani
We prove that any symplectic automorphism of finite order on a manifold of type OG6 acts trivially on the Beauville--Bogomolov--Fujiki lattice and that any birational transformatio…
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…
Enriques involutions on singular K3 surfaces of small discriminants
Ichiro Shimada, Davide Cesare Veniani
We classify Enriques involutions on a K3 surface, up to conjugation in the automorphism group, in terms of lattice theory. We enumerate such involutions on singular K3 surfaces wit…
Symmetries and equations of smooth quartic surfaces with many lines
Davide Cesare Veniani
We provide explicit equations of some smooth complex quartic surfaces with many lines, including all 10 quartics with more than 52 lines. We study the relation between linear autom…
Lines on K3 quartic surfaces in characteristic 3
Davide Cesare Veniani
We investigate the number of straight lines contained in a K3 quartic surface \(X\) defined over an algebraically closed field of characteristic 3. We prove that if \(X\) contains…
Lines on K3 quartic surfaces in characteristic 2
Davide Cesare Veniani
We prove that a K3 quartic surface defined over a field of characteristic 2 can contain at most 68 lines. If it contains 68 lines, then it is projectively equivalent to a member of…
On prime degree isogenies between K3 surfaces
Samuel Boissière, Alessandra Sarti, Davide Cesare Veniani
We classify prime order isogenies between algebraic K3 surfaces whose rational transcendental Hodges structures are not isometric. The morphisms of Hodge structures induced by thes…
Semi-Calabi-Yau orbifolds and mirror pairs
Alessandro Chiodo, Elana Kalashnikov, Davide Cesare Veniani
We generalize the cohomological mirror duality of Borcea and Voisin in any dimension and for any number of factors. Our proof applies to all examples which can be constructed throu…
The maximum number of lines lying on a K3 quartic surface
Davide Cesare Veniani
We show that there cannot be more than 64 lines on a quartic surface admitting isolated rational double points over an algebraically closed field of characteristic ,…