Test configurations and Geodesic rays

zbMath1181.53058arXiv0707.4149MaRDI QIDQ5324193

Yudong Tang, Xiuxiong Chen

Publication date: 3 August 2009

Full work available at URL: https://arxiv.org/abs/0707.4149

zbMATH Keywords

Monge-Ampére equationtest configurationsgeodesic raytoric degenerationFutaki invariant

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Geodesics in global differential geometry (53C22) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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Envelopes with prescribed singularities ⋮ \(L^1\) metric geometry of big cohomology classes ⋮ Geometric flow, multiplier ideal sheaves and optimal destabilizer for a Fano manifold ⋮ Mabuchi's soliton metric and relative D-stability ⋮ Calabi type functionals for coupled Kähler-Einstein metrics ⋮ Multiplier Hermitian-Einstein metrics on Fano manifolds of KSM-type ⋮ WEAK GEODESIC RAYS IN THE SPACE OF KÄHLER POTENTIALS AND THE CLASS ⋮ Geodesic rays and Kähler–Ricci trajectories on Fano manifolds ⋮ The Dirichlet problem for the complex homogeneous Monge-Ampère equation ⋮ Kähler-Einstein metrics ⋮ C^1,1 regularity for degenerate complex Monge–Ampère equations and geodesic rays ⋮ Regularity of geodesic rays and Monge-Ampère equations ⋮ Test configurations, large deviations and geodesic rays on toric varieties ⋮ The closures of test configurations and algebraic singularity types ⋮ K-polystability of Q-Fano varieties admitting Kähler-Einstein metrics

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