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arxiv: math/0011073 · v2 · submitted 2000-11-13 · 🧮 math.AG · math.AT

Arrangements, Milnor Fibers and Polar Curves

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keywords arrangementscurvesfibershyperplanemathmilnorpolaraffine
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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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