Alpha invariants and coercivity of the Mabuchi functional on Fano manifolds
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Publication:332673
DOI10.5802/afst.1515zbMath1357.32018arXiv1412.1426OpenAlexW2963769473MaRDI QIDQ332673
Publication date: 8 November 2016
Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.1426
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Cites Work
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- On Calabi's conjecture for complex surfaces with positive first Chern class
- Kähler-Einstein metrics on Fano surfaces
- Geometry of Kähler metrics and foliations by holomorphic discs
- On Kähler-Einstein metrics on certain Kähler manifolds with \(C_ 1(M)>0\)
- K-energy maps integrating Futaki invariants
- Kähler-Einstein metrics on complex surfaces with \(C_ 1>0\)
- Extremal Kähler metrics and complex deformation theory
- Scalar curvature and stability of toric varieties.
- On the \(J\)-flow in higher dimensions and the lower boundedness of the Mabuchi energy
- Semi-continuity of complex singularity exponents and Kähler–Einstein metrics on Fano orbifolds
- Alpha Invariants and K-Stability for General Polarizations of Fano Varieties
- Uniform Stability of Twisted Constant Scalar Curvature Kähler Metrics
- On the convergence and singularities of the J‐Flow with applications to the Mabuchi energy
