منابع مشابه
Bounding the number of k-faces in arrangements of hyperplanes
Fukuda, K., S. Saito, A. Tamura and T. Tokuyama, Bounding the number of k-faces in arrangements of hyperplanes, Discrete Applied Mathematics 31 (1991) 151-165. We study certain structural problems of arrangements of hyperplanes in d-dimensional Euclidean space. Of special interest are nontrivial relations satisfied by the f-vector f = Lfo, fi, . , fd) of an arrangement, where fk denotes the num...
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Let K be a perfect field of characteristic 2. In this paper, we classify all hyperplanes of the symplectic dual polar space DW (5,K) that arise from its Grassmann embedding. We show that the number of isomorphism classes of such hyperplanes is equal to 5 + N , where N is the number of equivalence classes of the following equivalence relation R on the set {λ ∈ K |X2 + λX + 1 is irreducible in K[...
متن کاملHyperplanes of DW ( 5 , K ) with K a perfect field of characteristic 2
Let K be a perfect field of characteristic 2. In this paper, we classify all hyperplanes of the symplectic dual polar space DW(5,K) that arise from its Grassmann embedding. We show that the number of isomorphism classes of such hyperplanes is equal to 5+N , where N is the number of equivalence classes of the following equivalence relation R on the set {λ ∈ K |X2 + λX + 1 is irreducible in K[X]}...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1980
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1980-0549158-6