Projectively flat klt varieties
DOI10.5802/jep.164zbMath1470.32073arXiv2010.06878OpenAlexW3165410018MaRDI QIDQ2034722
Stefan Kebekus, Thomas Peternell, Daniel Greb
Publication date: 22 June 2021
Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.06878
stabilityabelian varietyMiyaoka-Yau inequalityuniformisationprojective flatnessklt singularitiesBogomolov-Gieseker inequality
Minimal model program (Mori theory, extremal rays) (14E30) Coverings in algebraic geometry (14E20) Projective connections (53B10) Uniformization of complex manifolds (32Q30) Notions of stability for complex manifolds (32Q26)
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Cites Work
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- Numerical character of the effectivity of adjoint line bundles
- Varieties fibred over abelian varieties with fibres of log general type
- Varieties fibered by good minimal models
- Differential forms on log canonical spaces
- Étale fundamental groups of Kawamata log terminal spaces, flat sheaves, and quotients of abelian varieties
- Variétés kähleriennes dont la première classe de Chern est nulle
- On twistor spaces of the class \({\mathcal C}\)
- Pluricanonical systems on minimal algebraic varieties
- An elementary account of Selberg's lemma
- Shafarevich maps and plurigenera of algebraic varieties
- Zariski-decomposition and abundance
- On canonical bundle formulas and subadjunctions
- Harmonic metrics on Higgs sheaves and uniformization of varieties of general type
- On Shokurov's rational connectedness conjecture
- On maximal Albanese dimensional varieties
- Faisceaux amples sur les schémas en groupes et les espaces homogènes
- Gap-sheaves and extension of coherent analytic subsheaves
- Extension theorems for differential forms and Bogomolov–Sommese vanishing on log canonical varieties
- Minimal models and the Kodaira dimension of algebraic fiber spaces.
- Die Additivität der Kodaira Dimension für projektive Faserräume über Varietäten des allgemeinen Typs.
- Faisceaux Amples sur les Espaces Analytiques
- Local Simple Connectedness of Resolutions of Log-Terminal Singularities
- Variétés algébriques dont le fibré tangent est totalement dÉcompos
- A Characterization of Finite Quotients of Abelian Varieties
- The moduli b-divisor of an lc-trivial fibration
- SEMISTABILITY OF RESTRICTED TANGENT BUNDLES AND A QUESTION OF I. BISWAS
- Représentations linéaires des groupes kählériens : factorisations et conjecture de Shafarevich linéaire
- Extending holomorphic forms from the regular locus of a complex space to a resolution of singularities
- The Miyaoka-Yau inequality and uniformisation of canonical models
- Uniformisation of higher-dimensional minimal varieties
- Nonabelian Hodge theory for klt spaces and descent theorems for vector bundles
- The Zariski-Lipman conjecture for log canonical spaces
- Higher-dimensional algebraic geometry
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