Title
Blocking Sets in the complement of hyperplane arrangements in projective space
Abstract
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
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
Simona Settepanella101.69