Period differential equations for families of $K3$ surfaces derived from 3 dimensional reflexive polytopes with 5 vertices

Abstract

In this article we study the families of $K3$ surfaces derived from 3 dimensional 5 verticed reflexive polytopes with at most terminal singularity. We determine the lattice structures, the period differential equations and the projective monodromy groups for these families.

The results of this paper are contained the article "Period differential equations for the families of K3 surfaces with 2 parameters derived from the reflexive polytopes "

References in corpus (2)

• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• A period differential equation for a family of $K3$ surfaces and the Hilbert modular orbifold for the field $\mathbb{Q}(\sqrt{5})$