Affine semipolar spaces

Deleting a hyperplane from a polar space associated with a symplectic polarity we get a specific, symplectic, affine polar space. Similar geometry, called an affine semipolar space arises as a result of generalization of the notion of an alternating form to a semiform. Some properties of these two g...

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Bibliographic Details
Published in:Journal of geometry 2019-08, Vol.110 (2), p.1-20, Article 37
Main Authors: Prażmowski, Krzysztof, Żynel, Mariusz
Format: Article
Language:English
Subjects:
Automorphisms
Geometry
Hyperplanes
Mathematics
Mathematics and Statistics
Polarity
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Summary:Deleting a hyperplane from a polar space associated with a symplectic polarity we get a specific, symplectic, affine polar space. Similar geometry, called an affine semipolar space arises as a result of generalization of the notion of an alternating form to a semiform. Some properties of these two geometries are given and their automorphism groups are characterized.
ISSN:0047-2468
1420-8997
DOI:10.1007/s00022-019-0494-y