The structure of full polarized embeddings of symplectic and Hermitian dual polar spaces

DOI10.1515/ADVGEOM.2008.008zbMath1158.51001OpenAlexW2010936147MaRDI QIDQ3516750

Bart De Bruyn, Ilaria Cardinali

Publication date: 11 August 2008

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/advgeom.2008.008

zbMATH Keywords

Hermitian dual polar spaceVeroneseanGrassmann varietypolarized embedding

Mathematics Subject Classification ID

Incidence structures embeddable into projective geometries (51A45) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Related Items

Hyperplanes of Hermitian dual polar spaces of rank 3 containing a quad, Hyperplanes of \(DW(5,\mathbb K)\) containing a quad, Non-classical hyperplanes of \(\mathrm{DW}(5,q)\), The hyperplanes of finite symplectic dual polar spaces which arise from projective embeddings, The structure of the spin-embeddings of dual polar spaces and related geometries, Direct constructions of hyperplanes of dual polar spaces arising from embeddings, Pseudo-embeddings of the (point, \(k\)-spaces)-geometry of \(\mathrm{PG}(n,2)\) and projective embeddings of \(\mathrm{DW}(2n-1,2)\), A geometric description of the spin-embedding of symplectic dual polar spaces of rank 3, Two new classes of hyperplanes of the dual polar space \(DH(2n-1,4)\) not arising from the Grassmann embedding, On geometric SDPS-sets of elliptic dual polar spaces, Hyperplanes of \(DW(5,{\mathbb{K}})\) with \({\mathbb{K}}\) a perfect field of characteristic 2, On the Grassmann module of symplectic dual polar spaces of rank 4 in characteristic 3, Locally subquadrangular hyperplanes in symplectic and Hermitian dual polar spaces, A decomposition of the natural embedding spaces for the symplectic dual polar spaces, The hyperplanes of \(DW(5,2^h)\)which arise from embedding, A COMBINATORIAL CHARACTERIZATION OF THE LAGRANGIAN GRASSMANNIAN LG(3,6)(), The combinatorial properties of the hyperplanes of \(D\)W\((5,q)\) arising from embedding, Polarized and homogeneous embeddings of dual polar spaces

Cites Work

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