Fundamental group of Galois covers of degree 5 surfaces

2016/10/30 by Amram, Meirav, Gong, Cheng, Teicher, Mina +1
#14D06 #14H30 (Primary) 14D05 #14J10 #20F36 (Secondary) #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1610.09612

Abstract

Let X be an algebraic surface of degree 5, which is considered as a branch cover of \mathbbCP² 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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