On the connectivity of the realization spaces of line arrangements
arXiv:1009.0202
Abstract
We prove that under certain combinatorial conditions, the realization spaces of line arrangements on the complex projective plane are connected. We also give several examples of arrangements with eight, nine and ten lines which have disconnected realization spaces.
18 pages, v2: references added, v3: corrected typos, modified proof of Lem 4.4