Geodesic
On the connectivity of the realization spaces of line arrangements
Nazir, Shaheen1 ; Yoshinaga, Masahiko2
1 Department of Humanities and Sciences National University of Computer & Emerging Sciences Lahore, Pakistan
2 Department of Mathematics Kyoto University Kyoto, 606-8502, Japan
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 11 (2012) no. 4, pp. 921-937

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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.

Publié le :
Classification : 52C35

Nazir, Shaheen 1 ; Yoshinaga, Masahiko 2

1 Department of Humanities and Sciences National University of Computer & Emerging Sciences Lahore, Pakistan
2 Department of Mathematics Kyoto University Kyoto, 606-8502, Japan 
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Nazir, Shaheen; Yoshinaga, Masahiko. On the connectivity of the realization spaces of line arrangements. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 11 (2012) no. 4, pp. 921-937. http://geodesic.mathdoc.fr/item/ASNSP_2012_5_11_4_921_0/