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gr-qc2026
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…
math.DG2026
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…