Varieties with generically nef tangent bundles

DOI10.4171/JEMS/312zbMath1250.14022arXiv0807.0982OpenAlexW2964166547MaRDI QIDQ409053

Thomas Peternell

Publication date: 12 April 2012

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.0982

zbMATH Keywords

Fano manifoldrational connectednessgenerically nef vector bundlesemi-stable vector bundle

Mathematics Subject Classification ID

Families, moduli, classification: algebraic theory (14J10) Minimal model program (Mori theory, extremal rays) (14E30) Divisors, linear systems, invertible sheaves (14C20)

Related Items (13)

Almost nef regular foliations and Fujita's decomposition of reflexive sheaves ⋮ Geometric consistency of Manin's conjecture ⋮ Examples of Fano manifolds with non‐pseudoeffective tangent bundle ⋮ Fano manifolds with big tangent bundle: a characterisation of \(V_5\) ⋮ On generic nefness of tangent sheaves ⋮ Remarks on Kawamata's effective non-vanishing conjecture for manifolds with trivial first Chern classes ⋮ RC-positive metrics on rationally connected manifolds ⋮ Numerical triviality and pullbacks ⋮ On Eckl’s pseudo-effective reduction map ⋮ Manifolds with nef anticanonical bundle ⋮ Balanced line bundles on Fano varieties ⋮ Morphisms and faces of pseudo-effective cones ⋮ Second Chern class of Fano manifolds and anti-canonical geometry

Cites Work

• Unnamed Item
• Bergman kernels and the pseudoeffectivity of relative canonical bundles
• Nef reduction and anticanonical bundles
• Rational Curves on Foliated Varieties
• Existence of minimal models for varieties of log general type
• Divisorial Zariski decompositions on compact complex manifolds

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