The J-equation and the supercritical deformed Hermitian-Yang-Mills equation

DOI10.1007/s00222-021-01035-3zbMath1481.53093OpenAlexW3129935636MaRDI QIDQ2049900

Gao Chen

Publication date: 27 August 2021

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

Full work available at URL: https://doi.org/10.1007/s00222-021-01035-3

zbMATH Keywords

constant scalar curvature Kähler metricssupercritical deformed Hermitian-Yang-Mills equation

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

Related Items (13)

Mirror of volume functionals on manifolds with special holonomy ⋮ The deformed Hermitian Yang-Mills equation on three-folds ⋮ The deformed Hermitian-Yang-Mills equation, the Positivstellensatz, and the solvability ⋮ Stability conditions for polarised varieties ⋮ Geodesics in the space of relatively Kähler metrics ⋮ The supercritical deformed Hermitian Yang-Mills equation on compact projective manifolds ⋮ On the convexity of general inverse \(\sigma_k\) equations ⋮ A note on modified \(J\)-flow with the Calabi ansatz ⋮ Hypercritical deformed Hermitian-Yang-Mills equation revisited ⋮ Degenerate J-flow on compact Kähler manifolds ⋮ On \(L^{\infty}\) estimate for complex Hessian quotient equations on compact Kähler manifolds ⋮ A numerical criterion for generalised Monge-Ampère equations on projective manifolds ⋮ The deformed Hermitian-Yang-Mills equation on almost Hermitian manifolds

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