54 citations · 203 across the 24 of their papers we have counts for
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math.DG2019★ 3 cited
The Dirichlet Problem for the -Hessian Equation on a complex manifold
Tristan C. Collins, Sebastien Picard
We solve the Dirichlet problem for -Hessian equations on compact complex manifolds with boundary, given the existence of a subsolution. Our method is based on a second order a p…
math.AP2019★ 2 cited
Parabolic complex Monge-Ampere equations on compact Kahler manifolds
Sebastien Picard, Xiangwen Zhang
We study the long-time existence and convergence of general parabolic complex Monge-Ampere type equations whose second order operator is not necessarily convex or concave in the He…
math.DG2019★ 13 cited
Anomaly Flow and T-Duality
Teng Fei, Sebastien Picard
In this paper, we study the dual Anomaly flow, which is a dual version of the Anomaly flow under T-duality. A family of monotone functionals is introduced and used to estimate the…