Nearly all subspaces of a classical polar space arise from its universal embedding

DOI10.1016/j.laa.2021.06.013zbMath1469.51001arXiv2010.07640OpenAlexW3093108506MaRDI QIDQ2041783

Antonio Pasini, Ilaria Cardinali, Luca Giuzzi

Publication date: 23 July 2021

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

Full work available at URL: https://arxiv.org/abs/2010.07640

zbMATH Keywords

hyperplanesembeddingspolar spaces

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)

Related Items (3)

Synthetic and projective properties of embeddable polar spaces ⋮ Characterizations of symplectic polar spaces ⋮ On orthogonal polar spaces

Cites Work

• Unnamed Item
• Embeddings and hyperplanes of discrete geometries
• On locally polar geometries whose planes are affine
• Buildings of spherical type and finite BN-pairs
• Embedded polar spaces revisited
• Affine polar spaces
• The generating rank of a polar Grassmannian
• On ovoids of parabolic quadrics
• Diagram Geometry
• Some Constructions and Embeddings of the Tilde Geometry
• Absolute embeddings of point-line geometries

This page was built for publication: Nearly all subspaces of a classical polar space arise from its universal embedding