K3 surfaces from configurations of six lines in $\mathbb{P}^2$ and mirror symmetry I
K3 surfaces from configurations of six lines in $\mathbb{P}^2$ and mirror symmetry I
From the viewpoint of mirror symmetry, we revisit the hypergeometric system $E(3,6)$ for a family of K3 surfaces. We construct a good resolution of the Baily-Borel-Satake compactification of its parameter space, which admits special boundary points (LCSLs) given by normal crossing divisors. We find local isomorphisms between the $E(3,6)$ systems …