V. Guedj - Quasi-psh envelopes and supersolutions

Vincent Guedj (1) , Jérémy Magnien (2)

1 IMT - Institut de Mathématiques de Toulouse UMR5219
2 IF - Institut Fourier

Using and extending an approximation process due to Berman, we show that the quasi-psh envelope of a viscosity super-solution is a pluripotential super-solution of a given complex Monge-Ampère equation. We apply these ideas to Kahler-Einstein geometry (joint work with H.C.Lu and A.Zeriahi).

Mots clés: quasi-psh envelopes; Complex analytic and differential geometry 2017; Grenoble; supersolutions

Domaines: Géométrie différentielle [math.DG]

Vincent Guedj, Jérémy Magnien. V. Guedj - Quasi-psh envelopes and supersolutions: Complex analytic and differential geometry 2017. 2017. ⟨medihal-01615485⟩