A bstract Eight-dimensional nongeometric heterotic strings were constructed as duals of F-
theory on Λ 1, 1⊕ E 8⊕ E 7 lattice polarized K3 surfaces by Malmendier and Morrison. We …

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 …

We study the moduli of elliptic K3 surfaces with a section with the rank 17. While the Picard
number of a generic K3 surface in such moduli space is 19, the Picard number is enhanced …

Counting elliptic fibrations on K3 surfaces Page 1 c⃝2023 The Mathematical Society of Japan
J. Math. Soc. Japan Vol. 75, No. 4 (2023) pp. 1195–1225 doi: 10.2969/jmsj/88178817 …

In this paper we complete the classification of the elliptic fibrations on K3 surfaces which
admit a non-symplectic involution acting trivially on the Néron–Severi group. We use the …

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 with …

Nishiyama introduced a lattice theoretic classification of the elliptic fibrations on a K3
surface. In a previous paper we used his method to exhibit 52 elliptic fibrations, up to …

Given a generic K3-surface Yk of the Apéry–Fermi pencil, we use the Kneser–Nishiyama
technique to determine all its non isomorphic elliptic fibrations. These computations lead to …

We classify elliptic fibrations on elliptic K3 surfaces with a non-symplectic automorphism
$\sigma $ of order 3 according to the action of $\sigma $ on their fibres, building on work by …

We relate the Mahler measure of exact polynomials in arbitrary variables to the Deligne
cohomology of the Maillot variety using the Goncharov polylogarithmic complexes. In the …