Legendrian subvarieties of projective space

DOI10.1007/s10711-005-9027-yzbMath1129.14072arXivmath/0503528OpenAlexW2089997654MaRDI QIDQ2498412

Jarosław Buczyński

Publication date: 16 August 2006

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503528

zbMATH Keywords

symplectic groupsymplectic formFano manifoldhomogeneous varietyLegendrian varietycomplex contact variety

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Homogeneous spaces (22F30) Special varieties (14M99) Contact manifolds (general theory) (53D10)

Related Items

Minimal rational curves and 1-flat irreducible G-structures ⋮ Generalizations of the Szemerédi-Trotter theorem ⋮ On codes over \(\mathrm{FFN}(1,q)\)-projective varieties ⋮ Legendrian curves in \(\mathbb{C} P^3\): cubics and curves on a quadric surface ⋮ On Lagrangian-Grassmannian codes ⋮ Hyperkähler manifolds from the Tits -- Freudenthal magic square ⋮ The geometry of marked contact Engel structures ⋮ Some quasihomogeneous Legendrian varieties

Cites Work

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• Conformal and minimal immersions of compact surfaces into the 4-sphere
• Fano contact manifolds and nilpotent orbits
• Fano manifolds and quadric bundles
• Projective contact manifolds
• Construction and classification of complex simple Lie algebras via projective geometry
• On the ideals of secant varieties of Segre varieties
• Lines on contact manifolds
• Complex Analytic Connections in Fibre Bundles
• Some results on eigenfunctions on symmetric spaces and eigenspace representations.