The main problem on caps posed originally by Segre in the fifties, is to determine the values of k for which there esxists a complete k-cap. In the present paper, we construct in PG(3,q), for odd prime q, a family of ((q^2+7)/2)-caps which have 2 points on a line external to an elliptic quadric E and the remaining points on E. We conjecture that they are complete.
A class of complete k-caps having k-2 points in common with an elliptic quadric and two points on an external line
PAMBIANCO, Fernanda;UGHI, Emanuela
2000
Abstract
The main problem on caps posed originally by Segre in the fifties, is to determine the values of k for which there esxists a complete k-cap. In the present paper, we construct in PG(3,q), for odd prime q, a family of ((q^2+7)/2)-caps which have 2 points on a line external to an elliptic quadric E and the remaining points on E. We conjecture that they are complete.File in questo prodotto:
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