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arXiv · 1507.08193

On estimates for the Fu-Yau generalization of a Strominger system

Duong H. Phong·Sebastien Picard·Xiangwen Zhang
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Abstract

We study an equation proposed by Fu and Yau as a natural $n$-dimensional generalization of a Strominger system that they solved in dimension $2$. It is a complex Hessian equation with right hand side depending on gradients. Building on the methods of Fu and Yau, we obtain $C^0$, $C^2$ and $C^{2,α}$ a priori estimates. We also identify difficulties in extending the Fu-Yau arguments for non-degeneracy from dimension $2$ to higher dimensions.

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Duong H. Phong, Sebastien Picard, Xiangwen Zhang. 2017-04-10. On estimates for the Fu-Yau generalization of a Strominger system. https://arxiv.org/abs/1507.08193

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