Title
An observation on certain point—line configurations in classical planes
Abstract
We define a cotangency set (in the projective plane over any field) to be a set of points that satisfy two conditions (A) and (B). The main result says that a cotangency set can never contain a quadrangle. A number of profound-sounding consequences involving Hermitian curves are really observations that follow quickly from the theorem by way of elementary arguments.
Year
DOI
Venue
1992
10.1016/0012-365X(92)90534-M
Discrete Mathematics
Keywords
Field
DocType
line configuration,classical plane,certain point
Blocking set,Discrete mathematics,Quadrangle,Combinatorics,Complete quadrangle,Pencil (mathematics),Projective plane,Duality (projective geometry),Hermitian matrix,Mathematics
Journal
Volume
ISSN
Citations 
106-107,
Discrete Mathematics
2
PageRank 
References 
Authors
0.72
0
2
Name
Order
Citations
PageRank
A. A. Bruen1387.27
J. Chris Fisher220.72