Regularity of envelopes
Appears in collection : Conférence à la mémoire de Jean-Pierre Demailly
Envelopes are key objects in pluripotential theory. In this talk I will introduce envelopes on a compact Kähler manifold and I will study their regularity. In particular, I will show that, even in singular contexts, they are C1,α on a Zariski open subset. This is based on a joint work with S. Trapani.
