Arrangements, Milnor Fibers and Polar Curves

Details Arrangements, Milnor Fibers and Polar Curves Arrangements, Milnor Fibers and Polar Curves

2000-11-13

arxiv.org/abs/math/0011073v2

Mathematics

Algebraic Geometry

10 pages

Scientific paper

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. N\'emethi. 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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