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 …

For an elliptic surface π: X→ P 1 defined over a number field K, a theorem of Silverman
shows that for all but finitely many fibres above K-rational points, the resulting elliptic curve …

We classify all Jacobian elliptic fibrations on K3 surfaces with finite automorphism group. We
also classify all Jacobian elliptic fibrations with finite Mordell–Weil group on K3 surfaces with …

Abstract We apply Borcea–Voisin's construction and give new examples of Calabi–Yau 4-
folds Y, which admit an elliptic fibration onto a smooth 3-fold V, whose singular fibers of type …

We study K3 surfaces over a number field k which are double covers of extremal rational
elliptic surfaces. We provide a list of all elliptic fibrations on certain K3 surfaces together with …

We study complex algebraic K3 surfaces of Picard ranks 11, 12, and 13 of finite
automorphism group that admit a Jacobian elliptic fibration with a section of order two. We …

We study complex algebraic K3 surfaces with finite automorphism groups and polarized by
rank 14, 2‐elementary lattices. Three such lattices exist, namely, H⊕ E 8 (− 1)⊕ A 1 (− 1)⊕ …

We survey our contributions on the classification of elliptic fibrations on K3 surfaces with a
non-symplectic involution. We place them in the more general framework of K3 surfaces with …

We consider the family of complex algebraic K3 surfaces 𝒳 with Picard lattice containing the
unimodular lattice H⊕ E7 (− 1)⊕ E7 (− 1). The surface 𝒳 admits a birational model …