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On orthogonal polar spaces

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Publication:6173932
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DOI10.1016/j.laa.2023.06.013zbMath1521.51002arXiv2301.05876OpenAlexW4380884325MaRDI QIDQ6173932

Ilaria Cardinali, Luca Giuzzi

Publication date: 13 July 2023

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.05876


zbMATH Keywords

orthogonal polar spaceembedded polar space


Mathematics Subject Classification ID

Buildings and the geometry of diagrams (51E24) Polar geometry, symplectic spaces, orthogonal spaces (51A50) Lie geometries in nonlinear incidence geometry (51B25)




Cites Work

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  • Embeddings and hyperplanes of discrete geometries
  • Points and lines. Characterizing the classical geometries
  • Buildings of spherical type and finite BN-pairs
  • Quadratic forms in infinite dimensional vector spaces
  • Embedded polar spaces revisited
  • Nearly all subspaces of a classical polar space arise from its universal embedding
  • The generating rank of a polar Grassmannian
  • Ensembles quadratiques des espaces projectifs
  • Diagram Geometry
  • On the incidence structures of polar spaces and quadrics
  • Synthetic and projective properties of embeddable polar spaces


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