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arXiv · 2102.02704

Continuity of Monge-Amp{\`e}re Potentials in Big Cohomology Classes

Quang-Tuan Dang
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Abstract

Extending DiNezza-Lu's approach to the setting of big cohomology classes, we prove that solutions of degenerate complex Monge-Amp{\`e}re equations on compact K{\"a}hler manifolds are continuous on a Zariski open set. This allows us to show that singular K{\"a}hler-Einstein metrics on log canonical varieties of general type have continuous potentials on the ample locus outside of the non-klt part.

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BibTeXRIS

Quang-Tuan Dang. 2021-02-04. Continuity of Monge-Amp{\`e}re Potentials in Big Cohomology Classes. https://doi.org/10.1093/imrn%2Frnab183

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