Geodesic
On the Number of Domains of Maximal Dimension in Partitions of Projective Spaces by Hyperplane Arrangements
Matematičeskie zametki, Tome 97 (2015) no. 3, pp. 475-480

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Keywords: projective space, hyperplane arrangement
Mots-clés : partition, domain of maximal dimension. 
I. N. Shnurnikov. On the Number of Domains of Maximal Dimension in Partitions of Projective Spaces by Hyperplane Arrangements. Matematičeskie zametki, Tome 97 (2015) no. 3, pp. 475-480. http://geodesic.mathdoc.fr/item/MZM_2015_97_3_a15/
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[1] B. Grünbaum, Arrangements and Spreads, Amer. Math. Soc., Providence, RI, 1972 | MR | Zbl

[2] N. Martinov, Discrete Comput. Geom., 9:1 (1993), 39–46 | DOI | MR | Zbl

[3] R. W. Shannon, J. Combinatorial Theory Ser. A, 20:3 (1976), 327–335 | MR | Zbl

[4] T. Zaslavsky, Mem. Amer. Math. Soc., 1, no. 154, Amer. Math. Soc., Providence, RI, 1975 | MR | Zbl

[5] R. C. Buck, Amer. Math. Monthly, 50 (1943), 541–544 | DOI | MR | Zbl

[6] P. Orlic, L. Solomon, Invent. Math., 56:2 (1980), 167–189 | DOI | MR

[7] P. Deshpande, Arrangements of Submanifolds and the Tangent Bundle Complement, Electronic Thesis and Dissertation Repository, Paper 154, 2011

[8] I. N. Shnurnikov, “Konfiguratsii podmnogoobrazii korazmernosti $1$”, Matem. sb., 203:9 (2012), 133–160 | DOI | MR | Zbl