4 papers
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…