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arXiv 2000-11-15 0 views

Morse theory, Milnor fibers and minimality of hyperplane arrangements

Randell, Richard

Original · EN

Through the study of Morse theory on the associated Milnor fiber, we show that complex hyperplane arrangement complements are minimal. That is, the complement of a complex hyperplane arrangement has the homotopy type of a CW complex in which the number of p-cells equals the p-th betti number.

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