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

thesis

posted on 16.10.2019, 18:48 by Katherine Ann Brubaker#### thesis

In order to distinguish essays and pre-prints from academic theses, we have a separate category. These are often much longer text based documents than a paper.

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.