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Concavity-Free $L^\infty$ Estimates and Stability for Fully Nonlinear Complex Equations

Gowan, Ryan Mc
arXiv (All) · Papers
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32w2053c55analysis-of-pdescomplex-variablesdifferential-geometry
In this paper, we extend the $L^\infty$ estimates of Guo-Phong for fully non-linear equations on compact hermitian manifolds to a possibly indefinite reference form satisfying a uniform admissibility criterion. Furthermore, we also establish one-sided stability estimates. Neither result requires hom
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