Some subspaces of the projective space PG(Λ^kV) related to regular spreads of PG(V)

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Some subspaces of the projective space PG(Λ^kV) related to regular spreads of PG(V)

Let V be a 2m-dimensional vector space over a field F (m ≥ 2) and let k ∈ {1, . . . , 2m − 1}. Let A2m−1,k denote the Grassmannian of the (k − 1)-dimensional subspaces of PG(V ) and let egr denote the Grassmann embedding of A2m−1,k into PG( ∧k V ). Let S be a regular spread of PG(V ) and let XS denote the set of all (k − 1)-dimensional subspaces of PG(V ) which contain at least one line of S. T...

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ژورنال

عنوان ژورنال: Electronic Journal of Linear Algebra

سال: 2010

ISSN: 1081-3810

DOI: 10.13001/1081-3810.1380