4-folds with numerically effective tangent bundles and second Betti numbers greater than one

DOI10.1007/BF02568341zbMath0799.14022MaRDI QIDQ1313506

Frédéric Campana, Thomas Peternell

Publication date: 24 November 1994

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155837

zbMATH Keywords

fourfoldsextremal raysAlbanese mapMori contractionnumerically effective tangent bundles

Mathematics Subject Classification ID

(4)-folds (14J35) Divisors, linear systems, invertible sheaves (14C20)

Related Items (13)

Fano 5-folds with nef tangent bundles and Picard numbers greater than one ⋮ Fano \(n\)-folds with nef tangent bundle and Picard number greater than \(n-5\) ⋮ Bigness of the tangent bundles of projective bundles over curves ⋮ Projective varieties with nef tangent bundle in positive characteristic ⋮ Projective manifolds whose tangent bundle contains a strictly nef subsheaf ⋮ Big vector bundles and complex manifolds with semi-positive tangent bundles ⋮ Fano manifolds of coindex three admitting nef tangent bundle ⋮ On Fano manifolds with Nef tangent bundles admitting 1-dimensional varieties of minimal rational tangents ⋮ Convex separably rationally connected complete intersections ⋮ Extremal rays and nefness of tangent bundles ⋮ Equivariant compactifications of vector groups with high index ⋮ Rational curves, Dynkin diagrams and Fano manifolds with nef tangent bundle ⋮ A remark on bigness of the tangent bundle of a smooth projective variety and D-simplicity of its section rings

Cites Work

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• Projective manifolds whose tangent bundles are numerically effective
• Rank-2 Fano bundles over a smooth quadric \(Q_ 3\)
• Fano bundles over \(P^ 3\) and \(Q_ 3\)
• Vector bundles on complex projective spaces
• Fano bundles and splitting theorems on projective spaces and quadrics
• On Fano manifolds, which are P^K-bundles over P²
• Fano fourfolds of index greater than one.
• Biregular classification of Fano 3-folds and Fano manifolds of coindex 3
• FANO 3-FOLDS. I

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