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Items for "polar space"

The ovoidal hyperplanes of a dual polar space of rank 4

Let π be a thick polar space of rank 4 over a field 𝕂 such that the generalised quadrangle Res+(α) of a line α of π which consists of the planes and 3-spaces of π containing α, admits a spread...

Keywords: Dual polar space, generalised quadrangle, hyperplane, ovoid, polar space, spread, symplectic spread

01/2007 | Advances in Geometry, Walter de Gruyter
A characterization of m-ovoids and i-tight sets of polar spaces

Let P be a finite polar space of rank r ≥ 2 with q + 1 ≥ 3 points on each line...

Keywords: m-ovoid, tight set, polar space

01/2008 | Advances in Geometry, Walter de Gruyter