6 citations · 28 across the 12 of their papers we have counts for
15 papers
Examples of real stable bundles on K3 surfaces
Dino Festi, Daniel Platt, Ragini Singhal +1
Motivated by gauge theory on manifolds with exceptional holonomy, we construct examples of stable bundles on K3 surfaces that are invariant under two involutions: one is holomorphi…
Polarized K3 surfaces with an automorphism of order 3 and low Picard number
Dino Festi
In this paper, for each , we study the minimum integer for which there exists a complex polarized K3 surface of degree and Picard num…
K3 surfaces with two involutions and low Picard number
Dino Festi, Wim Nijgh, Daniel Platt
Let be a complex algebraic K3 surface of degree and with Picard number . Assume that admits two commuting involutions: one holomorphic and one anti-holomorphic. In…
A Calabi-Yau threefold coming from two black holes
Dino Festi, Bert van Geemen
In this paper, we show that a set of six square roots of homogeneous polynomials in four variables, related to a binary system of black holes studied by Stefan Weinzierl, is not ra…
Rationalizability of field extensions with a view towards Feynman integrals
Dino Festi, Andreas Hochenegger
In 2021, Marco Besier and the first author introduced the concept of rationalizability of square roots to simplify arguments of Feynman integrals. In this work, we generalize the d…
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…
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…
On the arithmetic of a family of degree-two K3 surfaces
Florian Bouyer, Edgar Costa, Dino Festi +2
Let denote the weighted projective space with weights over the rationals, with coordinates and ; let be the generic element of th…
Unirationality of del Pezzo surfaces of degree two over finite fields
Dino Festi, Ronald van Luijk
We prove that every del Pezzo surface of degree two over a finite field is unirational, building on the work of Manin and an extension by Salgado, Testa, and Várilly-Alvarado, who…
Unirationality of del Pezzo surfaces of degree two over finite fields (extended version)
Dino Festi, Ronald van Luijk
We prove that every del Pezzo surface of degree two over a finite field is unirational, building on the work of Manin and an extension by Salgado, Testa, and Várilly-Alvarado, who…
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…