论文信息 - A proof of the linearity conjecture for k-blocking sets in PG(n, p3), p prime

A proof of the linearity conjecture for k-blocking sets in PG(n, p3), p prime

In this paper, we show that a small minimal k-blocking set in PG(n,q^3), q=p^h, h>=1, p prime, p>=7, intersecting every (n-k)-space in 1(modq) points, is linear. As a corollary, this result shows that all small minimal k-blocking sets in PG(n,p^3), p prime, p>=7, are F"p-linear, proving the linearity conjecture (see Sziklai, 2008 [9]) in the case PG(n,p^3), p prime, p>=7.

Michel Lavrauw | Geertrui Van de Voorde | Leo Storme

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