The authors state several identities and inequalities for the intersection matrix IS of a matroid S embedded in a projective space PG(n,q) . These conditions are used to prove results due to Bruck, Bose, the reviewer and Qvist on the sizes of subplanes, arcs and caps embedded in a projective space PG(n,q) . The paper is very clearly written and its results provide new methods for solving combinatorial problems of Galois geometries.
Some applications of the intersection theory to Galois geometry / Olanda, Domenico; T., Brylawski; P. M., Lo Re; F., Mazzocca. - In: RICERCHE DI MATEMATICA. - ISSN 0035-5038. - STAMPA. - (1980), pp. 65-84.
Some applications of the intersection theory to Galois geometry.
OLANDA, DOMENICO;
1980
Abstract
The authors state several identities and inequalities for the intersection matrix IS of a matroid S embedded in a projective space PG(n,q) . These conditions are used to prove results due to Bruck, Bose, the reviewer and Qvist on the sizes of subplanes, arcs and caps embedded in a projective space PG(n,q) . The paper is very clearly written and its results provide new methods for solving combinatorial problems of Galois geometries.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
