Identifying quadric bundle structures on complex projective varieties

DOI10.1007/s10711-008-9324-3zbMath1170.14038arXiv0811.0940OpenAlexW2033567349MaRDI QIDQ1018068

Carolina Araujo

Publication date: 13 May 2009

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

Full work available at URL: https://arxiv.org/abs/0811.0940

zbMATH Keywords

unirational varieties

Mathematics Subject Classification ID

Rational and unirational varieties (14M20)

Related Items (3)

Fano \(n\)-folds with nef tangent bundle and Picard number greater than \(n-5\) ⋮ A bound of lengths of chains of minimal rational curves on Fano manifolds of Picard number 1 ⋮ Flat deformations of \(\mathbb{P}^n\)

Cites Work

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• Projective manifolds with ample tangent bundles
• Stability of tangent bundles of low-dimensional Fano manifolds with Picard number 1
• Rigidity of irreducible Hermitian symmetric spaces of the compact type under Kähler deformation
• Birationality of the tangent map for minimal rational curves
• Deformation of holomorphic maps onto Fano manifolds of second and fourth Betti numbers 1
• Rational curves of minimal degree and characterizations of projective spaces
• Families of singular rational curves
• Families of rationally connected varieties
• Connexité rationnelle des variétés de Fano
• Higher-dimensional algebraic geometry
• On manifolds whose tangent bundle contains an ample subbundle.

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