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- W2609962736 abstract "Abstract Let 𝓖 k ( V ) be the k -Grassmannian of a vector space V with dim V = n . Given a hyperplane H of 𝓖 k ( V ), we define in [3] a point-line subgeometry of PG( V ) called the geometry of poles of H . In the present paper, exploiting the classification of alternating trilinear forms in low dimension, we characterize the possible geometries of poles arising for k = 3 and n ≤ 7 and propose some new constructions. We also extend a result of [6] regarding the existence of line spreads of PG(5, 𝕂) arising from hyperplanes of 𝓖 3 ( V )." @default.
- W2609962736 created "2017-05-05" @default.
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- W2609962736 date "2019-04-01" @default.
- W2609962736 modified "2023-09-23" @default.
- W2609962736 title "Geometries arising from trilinear forms on low-dimensional vector spaces" @default.
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- W2609962736 doi "https://doi.org/10.1515/advgeom-2018-0027" @default.
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