Flag bundles on Fano manifolds

DOI10.1016/j.matpur.2016.03.006zbMath1362.14043arXiv1601.07299OpenAlexW2963188740MaRDI QIDQ304874

Jarosław A. Wiśniewski, Gianluca Occhetta, Luis-Eduardo Solá-Conde

Publication date: 26 August 2016

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.07299

zbMATH Keywords

Fano manifoldsflag bundlesGrothendieck's theorem

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Grassmannians, Schubert varieties, flag manifolds (14M15) Fano varieties (14J45) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items (10)

Nestings of rational homogeneous varieties ⋮ On uniform flag bundles on Fano manifolds ⋮ A characterization of symplectic Grassmannians ⋮ Splitting conjectures for uniform flag bundles ⋮ Rational homogeneous spaces as geometric realizations of birational transformations ⋮ Fano manifolds of coindex three admitting nef tangent bundle ⋮ Positivity of the second exterior power of the tangent bundles ⋮ Vector bundles on rational homogeneous spaces ⋮ Deformation of Bott-Samelson varieties and variations of isotropy structures ⋮ Manifolds with two projective bundle structures

Cites Work

• Algebraic geometry and analytic geometry
• On covering and quasi-unsplit families of curves
• Vector bundles on complex projective spaces
• On the projective geometry of rational homogeneous varieties
• Rational curves, Dynkin diagrams and Fano manifolds with nef tangent bundle
• A survey on the Campana-Peternell Conjecture
• Sur La Classification Des Fibres Holomorphes Sur La Sphere de Riemann
• Families of rationally connected varieties
• Higher-dimensional algebraic geometry
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