Global log canonical thresholds for Burniat surfaces and some infinite families of surfaces of general type as $\mathbb{Z}_2^n$-covers

Abstract: In this paper, we complete the computation of the global log canonical thresholds of Burniat surfaces. Additionally, we determine the global log canonical thresholds for certain infinite families of surfaces of general type, constructed as $\mathbb{Z}_2ⁿ$-covers of $\mathbb{P}<sup>2$ or $\mathbb{P}¹ \times \mathbb{P}<sup>1$.