Degenerate complex Hessian equations on compact Hermitian manifolds

Vincent Guedj; Chinh H. Lu

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arXiv · 2302.03354

Degenerate complex Hessian equations on compact Hermitian manifolds

Vincent Guedj·Chinh H. Lu

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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-Ko{\l}odziej, Ko{\l}odziej-Nguyen and Guo-Phong-Tong.

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Vincent Guedj, Chinh H. Lu. 2023-02-07. Degenerate complex Hessian equations on compact Hermitian manifolds. https://arxiv.org/abs/2302.03354

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