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math.CV2023★ 2 cited
Relative pluripotential theory on compact Kähler manifolds
Tamás Darvas, Eleonora Di Nezza, Chinh H. Lu
Given a compact Kähler manifold, we survey the study of complex Monge-Ampère type equations with prescribed singularity type, developed by the authors in a series of papers. In add…
math.DG2023
Degenerate complex Hessian equations on compact Hermitian manifolds
Vincent Guedj, Chinh H. Lu
In this note we provide uniform a priori estimates for solutions to degenerate complex Hessian equations on compact hermitian manifolds. Our approach relies on the corresponding a…