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arXiv · 1402.1641

Complements of hypersurfaces, variation maps and minimal models of arrangements

Mihai Tibar
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Abstract

We prove the minimality of the CW-complex structure for complements of hyperplane arrangements in $\mathbb C^n$ by using the theory of Lefschetz pencils and results on the variation maps within a pencil of hyperplanes. This also provides a method to compute the Betti numbers of complements of arrangements via global polar invariants.

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Mihai Tibar. 2014-02-07. Complements of hypersurfaces, variation maps and minimal models of arrangements. https://doi.org/10.1007/978-3-319-09186-0_18

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