In this paper we give a characterization of classical unitals in terms of a configuration pattern formed by the feet of a unital U embedded in PG(2, q(2)) q > 2. We show that a necessary-and sufficient condition for U to be classical is the existence of two points p(0), p(1) epsilon U with tangent lines L-0 and L-1, respectively, such that for all points r epsilon L-0 \ {p(0)} and s epsilon L-1 \ {p(1)} the corresponding feet are collinear.
A combinatorial characterization of classical unitals / Aguglia, A.; Ebert, L.. - In: ARCHIV DER MATHEMATIK. - ISSN 0003-889X. - STAMPA. - 78:2(2002), pp. 166-172. [10.1007/s00013-002-8231-3]
A combinatorial characterization of classical unitals
A. Aguglia;
2002-01-01
Abstract
In this paper we give a characterization of classical unitals in terms of a configuration pattern formed by the feet of a unital U embedded in PG(2, q(2)) q > 2. We show that a necessary-and sufficient condition for U to be classical is the existence of two points p(0), p(1) epsilon U with tangent lines L-0 and L-1, respectively, such that for all points r epsilon L-0 \ {p(0)} and s epsilon L-1 \ {p(1)} the corresponding feet are collinear.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
