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arxiv: 1412.5001 · v2 · pith:OQQX63FZnew · submitted 2014-12-16 · 🧮 math.AP · math.CV· math.DG

On uniform estimate of complex elliptic equations on closed Hermitian manifolds

classification 🧮 math.AP math.CVmath.DG
keywords equationsclosedmanifoldscomplexestimatehermitianhessianuniform
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In this paper, we study Hessian equations and complex quotient equations on closed Hermitian manifolds. We directly derive the uniform estimate for the admissible solution. As an application, we solve general Hessian equations on closed K\"ahler manifolds.

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