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math.DG2022
The continuity equation on Hopf and Inoue surfaces
Xi Sisi Shen, Kevin Smith
We study the continuity equation of La Nave-Tian, extended to the Hermitian setting by Sherman-Weinkove, on Hopf and Inoue surfaces. We prove a priori estimates for solutions in bo…
math.DG2021
On the Hessian-cscK equations
Bin Guo, Kevin Smith, Freid Tong
In this paper, we propose a coupled system of complex Hessian equations which generalizes the equation for constant scalar curvature Kähler (cscK) metrics. We show this system can…