The degenerate J-flow and the Mabuchi energy on minimal surfaces of general type
arXiv:1309.3810
Abstract
We prove existence, uniqueness and convergence of solutions of the degenerate J-flow on Kahler surfaces. As an application, we establish the properness of the Mabuchi energy for Kahler classes in a certain subcone of the Kahler cone on minimal surfaces of general type.
15 pages, to appear in Universitatis Iagellonicae Acta Mathematica