The boundary of the Milnor fiber of the singularity f(x,y) + zg(x,y) = 0

2017/02/13 by Sigurðsson, Baldur
#Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1702.03752

Abstract

Let f,g∈ℂ\x,y\ be germs of functions defining plane curve singularities without common components in (ℂ²,0) and let Φ(x,y,z) = f(x,y) + zg(x,y). We give an explicit algorithm producing a plumbing graph for the boundary of the Milnor fiber of Φ in terms of a common resolution for f and g.

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