Classification of Fundamental Groups of Galois Covers of Surfaces of Small Degree Degenerating to Nice Plane Arrangements

Meirav Amram, Rebecca Lehman, Robert Shwartz +1

Let $X$ be a surface of degree $n$, projected onto ${\mathbb{CP}}^2$. The surface has a natural Galois cover with Galois group $S_n.$ It is possible to determine the fundamental grou…