25 citations · 125 across the 26 of their papers we have counts for
28 papers
Some applications of the moduli space of -polarized K3 surfaces
Adrian Clingher, Andreas Malmendier, Brandon Williams
We study K3 surfaces polarized by the lattice through elliptic fibrations and orthogonal modular forms. Using an alternate genus-one fibration and its relative Ja…
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 projective K3 surfaces with
Adrian Clingher, Andreas Malmendier, Xavier Roulleau
We prove that every K3 surface with automorphism group admits an explicit birational model as a double sextic surface. This model is canonical for Pica…
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…