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Article Dans Une Revue International Mathematics Research Notices Année : 2022

Continuity of Monge–Ampère Potentials in Big Cohomology Classes

Résumé

Abstract Extending Di Nezza–Lu’s approach [16] to the setting of big cohomology classes, we prove that solutions of degenerate complex Monge–Ampère equations on compact Kähler manifolds are continuous on a Zariski open set. This allows us to show that singular Kähler–Einstein metrics on log canonical varieties of general type have continuous potentials on the ample locus outside of the non-klt part.

Dates et versions

hal-04011572 , version 1 (02-03-2023)

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Quang-Tuan Dang. Continuity of Monge–Ampère Potentials in Big Cohomology Classes. International Mathematics Research Notices, 2022, 2022 (14), pp.11180-11201. ⟨10.1093/imrn/rnab183⟩. ⟨hal-04011572⟩
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