We present a preliminary investigation of algebraic surfaces that have non-planar
degenerations, along with their Galois covers and fundamental groups. Specifically, we …

For the Galois closure $ X_ {\textrm {gal}} $ of a generic projection from a surface $ X $, it is
believed that $\pi _1 (X_ {\textrm {gal}}) $ gives rise to new invariants of $ X $. However, in …

We compute the fundamental group of the Galois cover of a surface of degree $8 $, with
singularities of degree $4 $ whose degeneration is homeomorphic to a sphere. The group is …

Let X be a surface of degree n, projected onto CP2. The surface has a natural Galois cover
with Galois group Sn. It is possible to determine the fundamental group of a Galois cover …

Let C (T) be a generalized Coxeter group, which has a natural map onto one of the classical
Coxeter groups, either Bn or Dn. Let CY (T) be a natural quotient of C (T), and if C (T) is …

This is the final paper in a series of four, concerning the surface 𝕋× 𝕋 embedded in ℂℙ8,
where 𝕋 is the one-dimensional torus. In this paper we compute the fundamental group of …

In this paper, we consider the Galois covers of algebraic surfaces of degree 6, with all
associated planar degenerations. We compute the fundamental groups of those Galois …

In this paper we calculate fundamental groups (and some of their quotients) of complements
of four toric varieties branch curves. For these calculations, we study properties and …

In 2011 Eriko Hironaka introduced an interesting generalization of Coxeter groups,
motivated by studying certain mapping classes. The generalization is by labeling the …

Let X be the surface 𝕋× 𝕋, where 𝕋 is the complex torus. This article is the third in a series
studying the fundamental group of the Galois cover of X with respect to a generic projection …