Smooth solutions to the complex Hessian equation

Details Smooth solutions to the complex Hessian equation Smooth solutions to the complex Hessian equation

2012-02-11

arxiv.org/abs/1202.2435v2

Mathematics

Complex Variables

This paper has been withdrawn by the author due to a crucial error in the proof of Theorem 3.1

Scientific paper

Let $(X,\omega)$ be a compact K\"{a}hler manifold of dimension $n$, and fix $1\leq m\leq n.$ We prove that the complex Hessian equation $(\omega+dd^c\varphi)^m\wedge \omega^{n-m}=f\omega^n$, with $0

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