Abstract | ||
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It is well know that the theory of minimal blocking sets is studied by several author. Another theory which is also studied by a large number of researchers is the theory of hyperplane arrangements. We can remark that the affine spaceAG(n, q) is the complement of the line at infinity in P G(n, q). Then AG(n, q) can be regarded as the complement of an hyperplane arrangement in P G(n, q)! Therefore the study of blocking sets in the affine spaceAG(n, q) is simply the study of blocking sets in the complement of a finite arrangement in P G(n, q). In this paper the author generalizes this remark starting to study the problem of existence of blocking sets in the complement of a given hyperplane arrangement in P G(n, q). As an example she solves the problem for the case of braid arrangement. Moreover she poses significant questions on this new and interesting problem. |
Year | Venue | Keywords |
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2008 | Clinical Orthopaedics and Related Research | affine space,finite field,arrangement of hyperplanes,projective space |
DocType | Volume | Citations |
Journal | abs/0802.2 | 0 |
PageRank | References | Authors |
0.34 | 1 | 1 |
Name | Order | Citations | PageRank |
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Simona Settepanella | 1 | 0 | 1.69 |