Geometry of self-dual flats over a PID on a polarity

DOI10.1515/ADVGEOM.2010.024zbMath1202.51003MaRDI QIDQ3055470

Li-Ping Huang

Publication date: 8 November 2010

Published in: advg (Search for Journal in Brave)

zbMATH Keywords

symmetric matrixprojective geometryprincipal ideal domainpolarityadjacency preservingself-dual flat

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) General theory of linear incidence geometry and projective geometries (51A05) Modular lattices, Desarguesian lattices (06C05) Homomorphism, automorphism and dualities in linear incidence geometry (51A10) Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) (51M35)

Cites Work

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• Projection geometry over rings
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• Geometry of symmetric matrices over any field with characteristic other than two
• On the geometry of algebraic homogeneous spaces
• The connected components of the projective line over a ring
• Morphisms of projective spaces over rings
• Adjacency preserving mappings of invariant subspaces of a null system