Showing papers by "J. W. P. Hirschfeld published in 1983"
TL;DR: In this paper, the authors discuss the caps in elliptic quadrics and show that the three conics of a tetrahedral system are contained in a quadric if and only if the system is flat: the quadric is then unique and irreducible.
Abstract: Publisher Summary This chapter discusses the caps in elliptic quadrics. In PG(n,q), projective space of n dimensions over the Galois field GF(q), a k-cap is a set of k points no three of which are collinear. The maximum value that k can take is denoted by m 2 (n,q). When n = 2, a k-cap is usually called a k-arc. For q odd, a (q+l)-arc is a conic and a (q 2 +1)-cap is an elliptic quadric. The three conics of a tetrahedral system are contained in a quadric if and only if the system is flat: the quadric is then unique and irreducible.
12 citations