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Smoothness of bounded solutions to complex Hessian equations on compact Hermitian manifolds

Fang, Yuetong
arXiv (All) · Papers
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32w20complex-variablesdifferential-geometry
We establish an a priori $C^2$-estimate for complex Hessian equations on compact Hermitian manifolds. As an application, we obtain a regularity result for solutions to complex Hessian equation with densities of the right hand side depending on the solution. This generalizes Székelyhidi--Tosatti's re
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