Hyperplanes and projective embeddings of dual polar spaces (Q408958)

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scientific article; zbMATH DE number 6023285
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Hyperplanes and projective embeddings of dual polar spaces
scientific article; zbMATH DE number 6023285

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    Hyperplanes and projective embeddings of dual polar spaces (English)
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    12 April 2012
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    A hyperplane of a partial linear space \(\Delta\) is a subspace which intersects each line non-trivially. If \(\Delta\) admits an embedding into a projective space \(\Sigma\) , then each hyperplane of \(\Sigma\) induces a hyperplane of \(\Delta\). The author surveys known results on hyperplanes and embeddings of dual polar spaces, with special emphasis on the question which hyperplanes arise from embeddings.
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    dual polar space
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    hyperplane
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    projective embedding
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    SDPS-set
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    polarized embedding
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