Corpus ID: 237940135

Quasi-polar spaces

@inproceedings{Schillewaert2021QuasipolarS,
  title={Quasi-polar spaces},
  author={Jeroen Schillewaert and Geertrui Van de Voorde},
  year={2021}
}
Quasi-polar spaces are sets of points having the same intersection numbers with respect to hyperplanes as classical polar spaces. Non-classical examples of quasi-quadrics have been constructed using a technique called pivoting [5]. We introduce a more general notion of pivoting, called switching, and also extend this notion to Hermitian polar spaces. The main result of this paper studies the switching technique in detail by showing that, for q ≥ 4, if we modify the points of a hyperplane of a… Expand

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