Characterizations of Veronese and Segre varieties

DOI10.1007/s00022-011-0091-1zbMath1248.51005OpenAlexW2065620191MaRDI QIDQ408956

Joseph A. Thas, Van Maldeghem, Hendrik

Publication date: 12 April 2012

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1854/LU-2043388

zbMATH Keywords

Segre varietyVeronese varietySegre geometryVeronesean cap

Mathematics Subject Classification ID

Linear codes and caps in Galois spaces (51E22) Combinatorial aspects of finite geometries (05B25) Combinatorial structures in finite projective spaces (51E20) Other finite nonlinear geometries (51E25) Other finite incidence structures (geometric aspects) (51E30) Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) (51M35)

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Cites Work

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• On Ferri's characterization of the finite quadric Veronesean \(\mathcal V_2^4\)
• Caps and Veronese varieties in projective Galois spaces
• Classification of finite Veronesean caps.
• Universal properties of the Corrado Segre embedding
• A characterization of the finite Veronesean by intersection properties
• Characterizations of Segre varieties
• Generalized Veronesean embeddings of projective spaces
• Classification of Veronesean caps
• Characterizations of the finite quadric Veroneseans Vn2n

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