Embeddings of Line-Grassmannians of Polar Spaces in Grassmann Varieties

DOI10.1007/978-81-322-1814-2_4zbMath1342.51004OpenAlexW1539294583MaRDI QIDQ2807165

Ilaria Cardinali, Antonio Pasini

Publication date: 19 May 2016

Published in: Groups of Exceptional Type, Coxeter Groups and Related Geometries (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-81-322-1814-2_4

zbMATH Keywords

tensor productsembeddingsgeneralized quadranglepolar spaceexterior productsVeronese varietyGrassmann variety

Mathematics Subject Classification ID

Generalized quadrangles and generalized polygons in finite geometry (51E12) Multilinear algebra, tensor calculus (15A69) Incidence structures embeddable into projective geometries (51A45) Varieties and morphisms (14A10) Exterior algebra, Grassmann algebras (15A75) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Related Items

Enumerative coding for line polar Grassmannians with applications to codes, Equations for polar Grassmannians, Line Hermitian Grassmann codes and their parameters, Minimum distance of orthogonal line-Grassmann codes in even characteristic, Grassmann embeddings of polar Grassmannians, Implementing line-Hermitian Grassmann codes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Veronesean embeddings of dual polar spaces of orthogonal type
• Embeddings and hyperplanes of discrete geometries
• The generating rank of the unitary and symplectic Grassmannians
• Die Schmieghyperebenen an die Veronese-Mannigfaltigkeit bei beliebiger Charakteristik
• Buildings of spherical type and finite BN-pairs
• Normal spreads
• On absolutely universal embeddings
• Ambient spaces of dimensional dual arcs
• Embeddings and expansions
• Lax embeddings of the Hermitian unital
• A dimension formula for the nucleus of a Veronese variety
• Generalized Veronesean embeddings of projective spaces
• Grassmann and Weyl embeddings of orthogonal Grassmannians
• The construction of translation planes from projective spaces
• Über nicht-Desarguessche Ebenen mit transitiver Translationsgruppe
• A note on embedding and generating dual polar spaces
• On symplectic polar spaces over non-perfect fields of characteristic 2
• Hermitian Veroneseans over finite fields
• Characterizations of the finite quadric Veroneseans Vn2n
• Some Constructions and Embeddings of the Tilde Geometry
• Absolute embeddings of point-line geometries