We prove that the projective space PG(5,q) can be partitioned into two planes and q^3−1 caps all of which are quadric Veroneseans. This partition is obtained by taking the orbits of alifted Singer cycle of PG(2,q). The possibility of getting larger caps by gluing some of these orbits together is also addressed.
Mixed Partitions of PG(5,q) / R. D., Baker; Bonisoli, Arrigo; A., Cossidente; G. L., Ebert. - In: DISCRETE MATHEMATICS. - ISSN 0012-365X. - STAMPA. - 208/209:(1999), pp. 23-29.
Mixed Partitions of PG(5,q)
BONISOLI, Arrigo;
1999-01-01
Abstract
We prove that the projective space PG(5,q) can be partitioned into two planes and q^3−1 caps all of which are quadric Veroneseans. This partition is obtained by taking the orbits of alifted Singer cycle of PG(2,q). The possibility of getting larger caps by gluing some of these orbits together is also addressed.
Pubblicazioni consigliate
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris
