A Priori Estimates for the Homogeneous Monge-Ampère Equation on Kähler Manifolds

2019-10-16T18:48:17Z (GMT) by Katherine Ann Brubaker
This thesis investigates the existence of smooth solutions to MA(F), proving a priori estimates on the leaves of the foliation that corresponds to smooth solutions. We demonstrate that sequences of leaves of Monge-Amp`ere foliations converge to holomorphic disks.