Degenerate complex Hessian equations on compact Hermitian manifolds

Abstract

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 priori estimates for Monge-Amp\`ere equations; it provides an extension as well as a short alternative proof to results of Dinew-Koodziej, Koodziej-Nguyen and Guo-Phong-Tong.

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