VARIATIONAL AND NON-ARCHIMEDEAN ASPECTS OF THE YAU–TIAN–DONALDSON CONJECTURE

DOI10.1142/9789813272880_0069zbMath1447.32030arXiv1805.03289OpenAlexW2973021068MaRDI QIDQ5122044

Sébastien Boucksom

Publication date: 22 September 2020

Published in: Proceedings of the International Congress of Mathematicians (ICM 2018) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.03289

zbMATH Keywords

pluripotential theoryK-stabilityconstant scalar curvature Kähler metrics

Mathematics Subject Classification ID

Critical metrics (58E11) Compact Kähler manifolds: generalizations, classification (32J27) General pluripotential theory (32U15)

Related Items (11)

Geodesic rays and stability in the lowercase cscK problem ⋮ Canonical Kähler metrics and stability of algebraic varieties ⋮ Quot-scheme limit of Fubini-study metrics and its applications to balanced metrics ⋮ K-stability and Fujita approximation ⋮ Geometric flow, multiplier ideal sheaves and optimal destabilizer for a Fano manifold ⋮ Mabuchi's soliton metric and relative D-stability ⋮ A Partial Comparison of Stability Notions in Kähler Geometry ⋮ Emergent complex geometry ⋮ The space of finite-energy metrics over a degeneration of complex manifolds ⋮ Geodesic stability, the space of rays and uniform convexity in Mabuchi geometry ⋮ A variational approach to the Yau–Tian–Donaldson conjecture

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