Homogeneous projective varieties with degenerate secants

DOI10.1090/S0002-9947-99-02378-8zbMath0905.14031MaRDI QIDQ4219169

Hajime Kaji

Publication date: 18 November 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

secant varietyhomogeneous projective varietiesrepresentations of complex simple algebraic groupssecant deficiency

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Representation theory for linear algebraic groups (20G05) Projective techniques in algebraic geometry (14N05)

Related Items (8)

Remarks on defective Fano manifolds ⋮ Projections of the minimal nilpotent orbit in a simple Lie algebra and secant varieties ⋮ A note on secant-defective varieties and Clifford modules ⋮ Lengths of chains of minimal rational curves on Fano manifolds ⋮ Singularities of duals of Grassmannians ⋮ On degenerate secant and tangential varieties and local differential geometry ⋮ Adjoint varieties and their secant varieties ⋮ Higher secant varieties of the minimal adjoint orbit

Cites Work

• Adjoint varieties and their secant varieties
• On odd dimensional projective manifolds with smallest secant varieties
• Varieties with Small Secant Varieties: The Extremal Case
• Varieties of small codimension in projective space
• Generic Projections of Algebraic Varieties
• Introduction to Lie Algebras and Representation Theory
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