We present a new construction of non-classical unitals from a classical unital U in PG(2,q2). The resulting non-classical unitals are BM unitals. The idea is to find a non-standard model Π of PG(2,q2) with the following three properties: points of Π are those of PG(2,q2);lines of Π are certain lines and conics of PG(2,q2);the points in U form a non-classical BM unital in Π. Our construction also works for the BT unital, provided that conics are replaced by certain algebraic curves of higher degree
Constructions of unitals in Desarguesian planes / Aguglia, Angela; Giuzzi, L; Korchmaros, G.. - In: DISCRETE MATHEMATICS. - ISSN 0012-365X. - 310:22(2010), pp. 3162-3167. [10.1016/j.disc.2009.06.023]
Constructions of unitals in Desarguesian planes
AGUGLIA, Angela;
2010-01-01
Abstract
We present a new construction of non-classical unitals from a classical unital U in PG(2,q2). The resulting non-classical unitals are BM unitals. The idea is to find a non-standard model Π of PG(2,q2) with the following three properties: points of Π are those of PG(2,q2);lines of Π are certain lines and conics of PG(2,q2);the points in U form a non-classical BM unital in Π. Our construction also works for the BT unital, provided that conics are replaced by certain algebraic curves of higher degreeI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
