The Miyaoka-Yau inequality and uniformisation of canonical models

DOI10.24033/asens.2414zbMath1452.32032arXiv1511.08822OpenAlexW2185820532MaRDI QIDQ5110349

Stefan Kebekus, Behrouz Taji, Thomas Peternell, Daniel Greb

Publication date: 18 May 2020

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.08822

zbMATH Keywords

stabilityuniformizationMiyaoka-Yau inequalityhyperbolicityclassification theorycanonical modelball quotientflat vector bundleHiggs sheafKLT singularityminimal model of general type

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Rational and birational maps (14E05) Minimal model program (Mori theory, extremal rays) (14E30) Coverings in algebraic geometry (14E20) (Equivariant) Chow groups and rings; motives (14C15) Projective connections (53B10) Uniformization of complex manifolds (32Q30) Notions of stability for complex manifolds (32Q26)

Related Items (13)

On the stability of extensions of tangent sheaves on Kähler-Einstein Fano/Calabi-Yau pairs ⋮ Projective flatness over klt spaces and uniformisation of varieties with nef anti-canonical divisor ⋮ Finite quotients of three-dimensional complex tori ⋮ Orbifold Chern classes inequalities and applications ⋮ The Miyaoka–Yau inequality on smooth minimal models ⋮ Harmonic metrics on Higgs sheaves and uniformization of varieties of general type ⋮ Equality in the Bogomolov-Miyaoka-Yau inequality in the non-general type case ⋮ Projectively flat klt varieties ⋮ Holomorphic sectional curvature, nefness and Miyaoka-Yau type inequality ⋮ Nonabelian Hodge theory for klt spaces and descent theorems for vector bundles ⋮ A characterization of complex quasi-projective manifolds uniformized by unit balls ⋮ Extending holomorphic forms from the regular locus of a complex space to a resolution of singularities ⋮ Orbifold stability and Miyaoka-Yau inequality for minimal pairs

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