362 KB29 KB200820252021Aguglia, AngelaGiuzzi, LucaHomma, Masaakištevilka:1letnik:21str. 45-55DOI:10.26493/1855-3974.2358.3c9COBISSID_HOST:109018371ISSN:1855-3966URN:URN:NBN:SI:doc-RV6GSWA8enUniverza na Primorskem, Fakulteta za matematiko, naravoslovje in informacijske tehnologijeArs mathematica contemporaneaalgebraic hypersurfacealgebraična hiperploskevHermitian varietyhermitska raznoterostunitalunitalenOn Hermitian varieties in PG(6, qsup2)|In this paper we characterize the non-singular Hermitian variety ?$\mathcal{H}(6, q^2 )$? of ?$\mathrm{PG}(6, q^2 )$?, ?$q \ne 2$? among the irreducible hypersurfaces of degree ?$q + 1$? in ?$\mathrm{PG}(6, q^2 )$? not containing solids by the number of its points and the existence of a solid ?$S$? meeting it in ?$q^4 + q^2 + 1$? pointsV članku karakteriziramo nesingularno hermitsko raznoterost ?$\mathcal{H}(6, q^2 )$?, ki pripada ?$\mathrm{PG}(6, q^2 )$?, ?$q \ne 2$?, v množici vseh ireducibilnih hiperploskev stopnje ?$q + 1$? v ?$\mathrm{PG}(6, q^2 )$? brez teles, s številom njenih točk in z eksistenco telesa ?$S$?, s katerim si deli ?$q^4 + q^2 + 1$? točkTEXTznanstveno časopisjejournalsSlovenian National E-content AggregatorNational and University Library of SloveniaUniverza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije