1 citations · 2 across the 6 of their papers we have counts for
7 papers
The continuity equation for Hermitian metrics: Calabi estimates, Chern scalar curvature and Oeljeklaus-Toma manifolds
Shuang Liang, Xi Sisi Shen, Kevin Smith
We prove local Calabi and higher order estimates for solutions to the continuity equation introduced by La Nave-Tian and extended to Hermitian metrics by Sherman-Weinkove. We apply…
Implications of subconvexity bounds for the moments of zeta
Kevin Smith
It is well-known that upper bounds for moments of the Riemann zeta function have implications for subconvexity bounds. In this paper we explore some implications in the oppo…
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…
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…
Optimal asymptotic of the functional with respect to the metric
Tamás Darvas, Erin George, Kevin Smith
We obtain sharp inequalities between the large scale asymptotic of the functional with respect to the metric on the space of Kahler metrics. Applications regarding the in…
Parabolic complex Monge-Ampère equations on compact Hermitian manifolds
Kevin Smith
We prove the long-time existence and convergence of solutions to a general class of parabolic equations, not necessarily concave in the Hessian of the unknown function, on a compac…