We prove the minimality of the CW-complex structure for complements of hyperplane arrangements in 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.
CITATION STYLE
Tibăr, M. (2014). Complements of hypersurfaces, variation maps, and minimal models of arrangements. In Springer Proceedings in Mathematics and Statistics (Vol. 96, pp. 281–289). Springer New York LLC. https://doi.org/10.1007/978-3-319-09186-0_18
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