Complements of hypersurfaces, variation maps and minimal models of arrangements
arXiv:1402.1641 · doi:10.1007/978-3-319-09186-0_18
Abstract
We prove the minimality of the CW-complex structure for complements of hyperplane arrangements in 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.