Uniform hyperplanes of finite dual polar spaces of rank 3
Journal of Combinatorial Theory Series A
The non-existence of ovoids in the dual polar space DW(5, q)
Journal of Combinatorial Theory Series A
Locally singular hyperplanes in thick dual polar spaces of rank 4
Journal of Combinatorial Theory Series A
A characterization of the SDPS-hyperplanes of dual polar spaces
European Journal of Combinatorics
The hyperplanes of DQ(2n,K) and DQ-(2n+1,q) which arise from their spin-embeddings
Journal of Combinatorial Theory Series A
On the hyperplanes of the half-spin geometries and the dual polar spaces DQ(2n,K)
Journal of Combinatorial Theory Series A
The uniqueness of the SDPS-set of the symplectic dual polar space DW(4n-1,q), ≥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
On geometric SDPS-sets of elliptic dual polar spaces
Journal of Combinatorial Theory Series A
On extensions of hyperplanes of dual polar spaces
Journal of Combinatorial Theory Series A
Isometric full embeddings of DW (2n-1,q) into DH(2n-1,q2)
Finite Fields and Their Applications
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Valuations were introduced in De Bruyn and Vandecasteele (Valuations of near polygons, preprint, 2004) as a very important tool for classifying near polygons. In the present paper we study valuations of dual polar spaces. We will introduce the class of the SDPS-valuations and characterize these valuations. We will show that a valuation of a finite thick dual polar space is the extension of an SDPS-valuation if and only if no induced hex valuation is ovoidal or semi-classical. Each SDPS-valuation will also give rise to a geometric hyperplane of the dual polar space.