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math.CV2016★ 54 cited
The Fu-Yau equation with negative slope parameter
Duong H. Phong, Sebastien Picard, Xiangwen Zhang
The Fu-Yau equation is an equation introduced by J. Fu and S.T. Yau as a generalization to arbitrary dimensions of an ansatz for the Strominger system. As in the Strominger system,…
math.CV2015★ 1 cited
A second order estimate for general complex Hessian equations
Duong H. Phong, Sebastien Picard, Xiangwen Zhang
We derive a priori estimates for the -plurisubharmonic solutions of general complex Hessian equations with right-hand side depending on gradients.
math.CV2015★ 12 cited
On estimates for the Fu-Yau generalization of a Strominger system
Duong H. Phong, Sebastien Picard, Xiangwen Zhang
We study an equation proposed by Fu and Yau as a natural -dimensional generalization of a Strominger system that they solved in dimension . It is a complex Hessian equation w…