Chinh H. Lu

activity

20142023

collaborators

3 papers

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…

math.CV2022

Plurisigned hermitian metrics

Daniele Angella, Vincent Guedj, Chinh H. Lu

Let $(X, ω)$ be a compact hermitian manifold of dimension $n$ . We study the asymptotic behavior of Monge-Ampère volumes $\int_{X} (ω + d d^{c} φ)^{n}$ , when $ω + d d^{c} φ$ varies in the set of h…

math.CV2014

Mixed Hessian inequalities and uniqueness in the class $E (X, ω, m)$

Sławomir Dinew, Chinh H. Lu

We prove a general inequality for mixed Hessian measures by global arguments. Our method also yields a simplification for the case of complex Monge-Ampère equation. Exploiting this…

Degenerate complex Hessian equations on compact Hermitian manifolds

Plurisigned hermitian metrics

Mixed Hessian inequalities and uniqueness in the class E(X,ω,m)

Mixed Hessian inequalities and uniqueness in the class $E (X, ω, m)$