most citedNeighbors and arithmetic of isogenous K3 surfaces

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.AG2022

Rational points in the Noether-Lefschetz locus of moduli spaces of K3 surfaces

Domenico Valloni

In this paper, we study maps between moduli spaces of lattice-polarized K3 surfaces induced by sublattices of prime index. We show that these maps can be used to determine if a rat…

math.AG2022★ 1 cited

Neighbors and arithmetic of isogenous K3 surfaces

Domenico Valloni

We use lattice theory to study the isogeny class of a K3 surface. Starting from isotropic Brauer classes, we construct isogenies via Kneser method of neighboring lattices. We also…

math.NT2019

Fields of definition of K3 surfaces with complex multiplication

Domenico Valloni

Let be a K3 surface with complex multiplication by the ring of integers of a CM field . We show that can always be defined over an Abelian extension ex…