Continuity of Monge-Amp{è}re Potentials in Big Cohomology Classes
arXiv:2102.02704 · doi:10.1093/imrn/rnab183
Abstract
Extending DiNezza-Lu's approach to the setting of big cohomology classes, we prove that solutions of degenerate complex Monge-Amp{è}re equations on compact K{ä}hler manifolds are continuous on a Zariski open set. This allows us to show that singular K{ä}hler-Einstein metrics on log canonical varieties of general type have continuous potentials on the ample locus outside of the non-klt part.
to appear in Int. Math. Res. Not