Using a variation of Seydewitz’s method of projective generation of quadrics we define two algebraic surfaces of PG(3, q^2), called elliptic QF-sets and semi-hyperbolic QF-sets, and we show that these surfaces are contained in the Hermitian surface of PG(3,q^2). Also, we characterize a semi-hyperbolic QF-set as the intersection of two Hermitian surfaces. Finally we describe all possible configurations of the absolute set of an ®-correlation in PG(2, q^2), where ® is the involutory automorphism of GF(q^2).
Two projectively generated subsets of the Hermitian surface / Donati, Giorgio; Durante, Nicola. - In: INNOVATIONS IN INCIDENCE GEOMETRY. - ISSN 1781-6475. - STAMPA. - 11:(2010), pp. 99-114.
Two projectively generated subsets of the Hermitian surface
DONATI, GIORGIO;DURANTE, NICOLA
2010
Abstract
Using a variation of Seydewitz’s method of projective generation of quadrics we define two algebraic surfaces of PG(3, q^2), called elliptic QF-sets and semi-hyperbolic QF-sets, and we show that these surfaces are contained in the Hermitian surface of PG(3,q^2). Also, we characterize a semi-hyperbolic QF-set as the intersection of two Hermitian surfaces. Finally we describe all possible configurations of the absolute set of an ®-correlation in PG(2, q^2), where ® is the involutory automorphism of GF(q^2).I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
