A non-existence result on symplectic semifield spreads

Autor:	Capparelli, Stefano, Pepe, Valentina
Rok vydání:	2015
Předmět:	Mathematics - Combinatorics Mathematics - Algebraic Geometry 51Exx 14Qxx
Druh dokumentu:	Working Paper
Popis:	We prove that there do not exist non-Desarguesian symplectic semifield spreads of PG$(5,q^2)$, $q\geq 2^{14}$ even, whose associated semifield has center containing $\mathbb{F}_q$, by proving that the only $\mathbb{F}_q$-linear set of rank 6 disjoint from the secant variety of the quadric Veronese variety of PG$(5,q^2)$ is a plane with three points of the Veronese surface of PG$(5,q^6)\setminus$PG$(5,q^2)$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1504.07845 Zobrazit plný text záznamu View this record from Arxiv