5 papers
Rationalizability of square roots
Marco Besier, Dino Festi
Feynman integral computations in theoretical high energy particle physics frequently involve square roots in the kinematic variables. Physicists often want to solve Feynman integra…
Arithmetic and geometry of a K3 surface emerging from virtual corrections to Drell--Yan scattering
Marco Besier, Dino Festi, Michael Harrison +1
We study a K3 surface, which appears in the two-loop mixed electroweak-quantum chromodynamic virtual corrections to Drell--Yan scattering. A detailed analysis of the geometric Pica…
Bhabha Scattering and a special pencil of K3 surfaces
Dino Festi, Duco van Straten
We study a pencil of K3 surfaces that appeared in the -loop diagrams in Bhabha scattering. By analysing in detail the Picard lattice of the general and special members of the pe…
A practical algorithm to compute the geometric Picard lattice of K3 surfaces of degree
Dino Festi
Let be either a number a field or a function field over with finitely many variables. We present a practical algorithm to compute the geometric Picard lattice of a…
The Cayley-Oguiso automorphism of positive entropy on a K3 surface
Dino Festi, Alice Garbagnati, Bert van Geemen +1
Recently Oguiso showed the existence of K3 surfaces that admit a fixed point free automorphism of positive entropy. The K3 surfaces used by Oguiso have a particular rank two Picard…