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S. Kolodziej - Monge-Ampère and Hessian equations on compact Hermitian manifoldsComplex analytic and differential geometry 2017

2017-06-09

Description : Let (X, ω) be a compact Hermitian manifold of complex dimension n. I shall discuss some recent results concerning weak solutions to the complex Monge-Ampère equation and, the more general, complex Hessian equation (ω+ddc φ)k∧ωn−k =cfωn,(where 0≤f belongs to some Lp space) including existence, stability and H ̈older continuity. They were obtained in collaboration with S lawomir Dinew and Cuong Ngoc Nguyen. I would like to high- light interesting open problems.


https://hal.archives-ouvertes.fr/medihal-01615497
Contributeur : Fanny Bastien <>
Soumis le : jeudi 12 octobre 2017 - 14:40:30
Dernière modification le : samedi 14 octobre 2017 - 01:05:00