We study Hessian K3 surfaces of non-Sylvester form. They are obtained as toric hypersurfaces, and their periods satisfy the Lauricella's hypergeometric differential equation FC. The period domain is the Siegel upper half-space of degree 2. We construct modular forms on it using results of Ibukiyama. © 2010 Elsevier Inc.
Koike, K. (2011). Hessian K3 surfaces of non-Sylvester type. Journal of Algebra, 330(1), 388–403. https://doi.org/10.1016/j.jalgebra.2010.12.006