4 citations · 6 across the 6 of their papers we have counts for
7 papers
Photon spheres, elliptic surfaces, and Seiberg-Witten geometry
Cordell Blankenship, Andreas Malmendier, Michael T. Schultz
We study null geodesics in Reissner-Nordström-de Sitter spacetime and in its Kiselev deformation through the elliptic curves defined by the radial equation. The relation o…
Line congruences associated to Appell's hypergeometric functions of rank-4
Matthew Ryan, Michael T. Schultz
Line congruences are the genesis of important examples of transformations of projective surfaces, such as the Laplace transform. We survey and review results related to this histor…
Geometric aspects of rank-3 vector bundles over surfaces and 2-plane distributions on 5-manifolds
Brandon P. Ashley, Michael T. Schultz
We study geometric aspects of horizontal 2-plane distributions on the complement of the zero section in the 5-dimensional total space of a rank-3 vector bundle equipped with connec…
Twists, Eisenstein series, and Instantons in Local Mirror Symmetry
Andreas Malmendier, Michael T. Schultz
We propose a mechanism for computing the genus zero invariants of local Calabi-Yau fourfolds arising as the total space of the canonical bundle of a rank-1 Fano threefold. Our meth…
On holomorphic conformal structures associated with lattice polarized K3 surfaces
Andreas Malmendier, Michael T. Schultz
We discuss the connection between Picard-Fuchs equations for certain families of lattice polarized K3 surfaces and the construction of integrable holomorphic conformal structures o…
On the mixed-twist construction and monodromy of associated Picard-Fuchs systems
Andreas Malmendier, Michael T. Schultz
We use the mixed-twist construction of Doran and Malmendier to obtain a multi-parameter family of K3 surfaces of Picard rank . Upon identifying a particular Jacobian ellip…
From the signature theorem to anomaly cancellation
Andreas Malmendier, Michael T. Schultz
We survey the Hirzebruch signature theorem as a special case of the Atiyah-Singer index theorem. The family version of the Atiyah-Singer index theorem in the form of the Riemann-Ro…