KBrubaker thesis.pdf (407.23 kB)
Download fileA Priori Estimates for the Homogeneous Monge-Ampère Equation on Kähler Manifolds
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.