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 Cet article a éte moissonné depuis la source Math-Net.Ru

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Keywords: projective space, hyperplane arrangement
Mots-clés : partition, domain of maximal dimension. 
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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/

[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