Non-classical hyperplanes of DW(5,q). Non-classical hyperplanes of DW(5,q) ... In the present paper, we classify non-classical hyperplanes of DW(5,q). If ...

Apr 24, 2013 · If q q is even, then we prove that every such hyperplane is the extension of a non-classical ovoid of a quad of DW(5,q) D W ( 5 , q ) .

Abstract. The hyperplanes of the symplectic dual polar space DW(5,q) arising from em- bedding, the so-called classical hyperplanes of DW(5,q), ...

If q is odd, then we prove that every non-classical ovoid of DW (5,q) is either a semi-singular hyperplane or the extension of a non-classical ovoid of a quad ...

If q is odd, then we prove that every non-classical ovoid of DW(5, q) is either a semi-singular hyperplane or the extension of a non-classical ovoid of a quad ...

Jun 6, 2013 · . The non-classical hyperplanes containing a deep quad. We suppose that H is a hyperplane of D W ( 5 , K ) , | K | ≠ 2 , containing a quad Q .

We present a complete list of the hyperplane classes of the symplectic dual polar space DW(5, 2). Theoretical results from Shult, Pasini and Shpectorov, and the ...

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, Non-classical hyperplanes of DW(5,q), Electron. J. Combin. 20. (2013) ... Pralle, The hyperplanes of DW(5,q) with no ovoidal quad, Glasg. Math. J. 48 ...

Abstract. We show that there are 6 isomorphism classes of hyperplanes of the dual polar space ∆ = DW(5,2h) which arise from the Grassmann- embedding.