Rational curves, Dynkin diagrams and Fano manifolds with nef tangent bundle

DOI10.1007/s00208-014-1083-xzbMath1333.14043arXiv1304.3928OpenAlexW3100883718MaRDI QIDQ2339316

Gianluca Occhetta, Kiwamu Watanabe, Luis-Eduardo Solá-Conde, Roberto Muñoz

Publication date: 31 March 2015

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.3928

zbMATH Keywords

homogeneous spaceFano manifoldnef tangent bundle

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Fano varieties (14J45) Minimal model program (Mori theory, extremal rays) (14E30) Algebraic cycles (14C25)

Related Items (14)

Nestings of rational homogeneous varieties ⋮ On uniform flag bundles on Fano manifolds ⋮ Uniform families of minimal rational curves on Fano manifolds ⋮ Flag bundles on Fano manifolds ⋮ Fano \(n\)-folds with nef tangent bundle and Picard number greater than \(n-5\) ⋮ Splitting conjectures for uniform flag bundles ⋮ Fano manifolds with big tangent bundle: a characterisation of \(V_5\) ⋮ Rational homogeneous spaces as geometric realizations of birational transformations ⋮ Projective varieties with nef tangent bundle in positive characteristic ⋮ Positivity of the second exterior power of the tangent bundles ⋮ \(\mathbb{P}^1\)-bundles admitting another smooth morphism of relative dimension one ⋮ Vector bundles on rational homogeneous spaces ⋮ Deformation of Bott-Samelson varieties and variations of isotropy structures ⋮ Extremal rays and nefness of tangent bundles

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