Erratum to Viscosity solutions to complex Monge-Amp\`ere equations
Philippe Eyssidieux, Vincent Guedj, Ahmed Zeriahi
TL;DR
This paper corrects and completes the proof of the comparison principle for complex Monge-Ampère equations, extending validity to the ample locus of big cohomology classes and discussing necessary modifications.
Contribution
It provides an alternative, complete proof of the comparison principle applicable in broader contexts for complex Monge-Ampère equations.
Findings
Successful completion of the proof in the ample locus
Extension of the comparison principle to big cohomology classes
Discussion of necessary modifications to previous proofs
Abstract
The proof of the comparison principlein [EGZ11] is not complete. We provide here an alternative proof, valid in the ample locus of any big cohomology class, and discuss the resulting modifications.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Black Holes and Theoretical Physics