On the connectivity of the realization spaces of line arrangements
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 5, Volume 11 (2012) no. 4, p. 921-937

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 that have disconnected realization spaces.

Published online : 2018-06-21
Classification:  52C35
@article{ASNSP_2012_5_11_4_921_0,
author = {Nazir, Shaheen and Yoshinaga, Masahiko},
title = {On the connectivity of the realization spaces of line arrangements},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
publisher = {Scuola Normale Superiore, Pisa},
volume = {Ser. 5, 11},
number = {4},
year = {2012},
pages = {921-937},
mrnumber = {3060685},
zbl = {06142478},
language = {en},
url = {http://www.numdam.org/item/ASNSP_2012_5_11_4_921_0}
}

Nazir, Shaheen; Yoshinaga, Masahiko. On the connectivity of the realization spaces of line arrangements. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 5, Volume 11 (2012) no. 4, pp. 921-937. http://www.numdam.org/item/ASNSP_2012_5_11_4_921_0/

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