Embeddings and hyperplanes of discrete geometries
European Journal of Combinatorics
On the generation of dual polar spaces of unitary type over finite fields
European Journal of Combinatorics
On the generation of dual polar spaces of symplectic type over finite fields
Journal of Combinatorial Theory Series A
On the universal embedding of the Sp2n(2) dual polar space
Journal of Combinatorial Theory Series A
The universal embedding dimension of the binary symplectic dual polar space
Discrete Mathematics - The 2000 Com2MaC conference on association schemes, codes and designs
Minimal full polarized embeddings of dual polar spaces
Journal of Algebraic Combinatorics: An International Journal
Minimal scattered sets and polarized embeddings of dual polar spaces
European Journal of Combinatorics
On the nucleus of the Grassmann embedding of the symplectic dual polar space DSp(2n,F), char(F)=2
European Journal of Combinatorics
Hyperplanes of $DW(5,{\mathbb{K}})$ with ${\mathbb{K}}$ a perfect field of characteristic 2
Journal of Algebraic Combinatorics: An International Journal
Polarized and homogeneous embeddings of dual polar spaces
Journal of Algebraic Combinatorics: An International Journal
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We give a geometrical description of the spin-embedding e"s"p of the symplectic dual polar space @D@?DW(5,2^r) by showing how the natural embedding of W(5,2^r) into PG(5,2^r) is involved in the Grassmann-embedding e"g"r of @D. We prove that the map sending every quad of @D to its nucleus realizes the natural embedding of W(5,2^r). Taking the quotient of e"g"r over the space spanned by the nuclei of the quadrics corresponding to the quads of @D gives an embedding isomorphic to e"s"p.