\(G\)-uniform stability and Kähler-Einstein metrics on Fano varieties

DOI10.1007/s00222-021-01075-9zbMath1495.32064arXiv1907.09399OpenAlexW3206875499MaRDI QIDQ2073773

Chi Li

Publication date: 8 February 2022

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.09399

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Fano varieties (14J45) Kähler-Einstein manifolds (32Q20)

Related Items (19)

The existence of the Kähler–Ricci soliton degeneration ⋮ Geodesic rays and stability in the lowercase cscK problem ⋮ K-stability of Gorenstein Fano group compactifications with rank two ⋮ Measure preserving holomorphic vector fields, invariant anti-canonical divisors and Gibbs stability ⋮ Finite generation for valuations computing stability thresholds and applications to K-stability ⋮ K-stability of cubic fourfolds ⋮ Kähler-Einstein metrics and Archimedean zeta functions ⋮ Weighted K-stability and coercivity with applications to extremal Kähler and Sasaki metrics ⋮ Quasi-monotone convergence of plurisubharmonic functions ⋮ On the regularity of conical Calabi–Yau potentials ⋮ Algebraic uniqueness of Kähler-Ricci flow limits and optimal degenerations of Fano varieties ⋮ Weakly special test configurations of log canonical Fano varieties ⋮ Mabuchi's soliton metric and relative D-stability ⋮ On K‐stability of some del Pezzo surfaces of Fano index 2 ⋮ New Sasaki–Einstein 5‐manifolds ⋮ Singular Kähler-Einstein metrics on \(\mathbb{Q}\)-Fano compactifications of Lie groups ⋮ A relative Yau-Tian-Donaldson conjecture and stability thresholds ⋮ Relative Ding stability and an obstruction to the existence of Mabuchi solitons ⋮ The uniform version of Yau-Tian-Donaldson conjecture for singular Fano varieties

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