6 papers
On the Vinberg Family of K3 Surfaces
Adrian Clingher, Andreas Malmendier, Brandon Williams
We study orthogonal modular forms associated with moduli spaces of lattice-polarized K3 surfaces whose generic transcendental lattices are of the form …
Kummer Surfaces, Isogenies and Theta Functions
Adrian Clingher, Andreas Malmendier, Tony Shaska
The paper discusses geometric and computational aspects associated with -isogenies for principally polarized Abelian surfaces and related Kummer surfaces. We start by review…
K3 Surfaces and Orthogonal Modular Forms
Adrian Clingher, Andreas Malmendier, Brandon Williams
We determine explicit generators for the ring of modular forms associated with the moduli spaces of K3 surfaces with automorphism group and of Picard r…
On two-elementary K3 surfaces with finite automorphism group
Adrian Clingher, Andreas Malmendier, Flora Poon
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 prove tha…
Orientifolds for F-theory on K3 Surfaces
Charles Doran, Andreas Malmendier, Stefan Mendez-Diez +1
We study F-theory orientifolds, starting with products of two elliptic curves, but focusing mostly on a family of K3 surfaces, lattice polarized by the rank-17 lattice $\langle 8 \…
On Néron-Severi lattices of Jacobian elliptic K3 surfaces
Adrian Clingher, Andreas Malmendier
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 s…