The deformed Hermitian–Yang–Mills equation, the Positivstellensatz, and the solvability

The deformed Hermitian Yang–Mills equation on three-folds

(2022) Vamsi Pritham Pingali   Analysis & PDE

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

(2021) Gao Chen   INVENTIONES MATHEMATICAE

Deformed Hermitian Yang–Mills connections, extended gauge group and scalar curvature

(2021) Enrico Schlitzer et al.   JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES

A numerical criterion for generalised Monge-Ampère equations on projective manifolds

(2021) Ved V. Datar et al.   GEOMETRIC AND FUNCTIONAL ANALYSIS

Fully non-linear elliptic equations on compact Hermitian manifolds

(2018) Gábor Székelyhidi   JOURNAL OF DIFFERENTIAL GEOMETRY

Convergence of the $J$-flow on toric manifolds

(2017) Tristan C. Collins et al.   JOURNAL OF DIFFERENTIAL GEOMETRY

A special Lagrangian type equation for holomorphic line bundles

(2016) Adam Jacob et al.   MATHEMATISCHE ANNALEN

The J-flow and stability

(2015) Mehdi Lejmi et al.   ADVANCES IN MATHEMATICS

Second-order estimates and regularity for fully nonlinear elliptic equations on Riemannian manifolds

(2014) Bo Guan   DUKE MATHEMATICAL JOURNAL

A second order estimate for complex Hessian equations on a compact Kähler manifold

(2013) Zuoliang Hou et al.   MATHEMATICAL RESEARCH LETTERS

Convergence of general inverse $\sigma _k$-flow on Kähler manifolds with Calabi ansatz

(2013) Hao Fang et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

On the uniform estimate in the Calabi-Yau theorem, II

(2011) Zbigniew Błocki   Science China-Mathematics