1.3k citations
- Universidad Autónoma de MadridES24 papers
- Université de Bretagne SudFR21 papers
- Max Planck Institute for Gravitational PhysicsDE19 papers
- University of Wisconsin–MilwaukeeUS15 papers
- Centre National de la Recherche ScientifiqueFR14 papers
- Pennsylvania State UniversityUS14 papers
- Tsinghua UniversityCN14 papers
- The University of Texas at AustinUS13 papers
- University of MichiganUS13 papers
- California Institute of TechnologyUS12 papers
- Goddard Space Flight CenterUS12 papers
- Instituto de Física TeóricaES12 papers
24 papers · 1 filter
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…
The duality between F-theory and the Heterotic String in with two Wilson lines
Adrian Clingher, Thomas Hill, Andreas Malmendier
We construct non-geometric string compactifications by using the F-theory dual of the heterotic string compactified on a two-torus with two Wilson line parameters, together with a…
On the duality of F-theory and the CHL string in seven dimensions
Adrian Clingher, Andreas Malmendier
We show that the duality between F-theory and the CHL string in seven dimensions defines algebraic correspondences between K3 surfaces polarized by the rank-ten lattices $H \oplus…
Isogenies of certain K3 surfaces of rank 18
Noah Braeger, Adrian Clingher, Andreas Malmendier +1
We construct geometric isogenies between three types of two-parameter families of K3 surfaces of Picard rank 18. One is the family of Kummer surfaces associated with Jacobians of g…