Let X be an algebraic surface of degree 5, which is considered a branch cover of (Formula presented) with respect to a generic projection. The surface has a natural Galois cover with Galois group S5. In this paper, we deal with the fundamental groups of Galois covers of degree 5 surfaces that degenerate to nice plane arrangements; each of them is a union of five planes such that no three planes meet in a line.
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- Galois cover
- braid monodromy
- fundamental group
- generic projection