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Geometry of the structure of linear complements

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Abstract.

Two geometries can be considered in the structure of linear complements: an affine spine space and an affine space. An affine spine space arises from a space of pencils. In terms of this geometry an affine partial line space may be defined. It is extensible to the affine space. Automorphisms of the affine spine space are automorphisms of appropriate affine space.

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Authors and Affiliations

  1. Institute of Mathematics, University of Bia lystok, ul. Akademicka 2, 15-267, Bia lystok, Poland

    Krzysztof Prażmowski & Mariusz Żynel

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  1. Krzysztof Prażmowski
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  2. Mariusz Żynel
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Correspondence to Krzysztof Prażmowski.

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Prażmowski, K., Żynel, M. Geometry of the structure of linear complements. J. Geom. 79, 177–189 (2004). https://doi.org/10.1007/s00022-003-1446-z

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  • DOI: https://doi.org/10.1007/s00022-003-1446-z

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