Arrangements, Milnor Fibers and Polar Curves

2000/11/13 by A. Dimca, Dimca, A.
Mathematics · #14D05 #14F25 #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics #math.AG #math.AT #msc:14D05 #msc:14F25

paper · pdf · doi:10.48550/arxiv.math/0011073

10 pages

arxiv created 2000/11/20 · arxiv updated 2009/11/30

Abstract

We describe a new relation between the topology of hyperplane arrangements, Milnor fibers and global polar curves, via the affine Lefschetz theory developped by A. Némethi. In particular, we improve some results due to Orlik and Terao (see Math. Ann. 301(1995)) and complete/clarify a proof by Randell concerning the minimality of hyperplane arrangements (see math.AT/0011101).

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