Envelopes of positive metrics with prescribed singularities
Envelopes of positive metrics with prescribed singularities
We investigate envelopes of positive metrics with a prescribed singularity type. First we generalise work of Berman to this setting, proving C 1,1 regularity of such envelopes, showing their Monge–Ampère measure is supported on a certain "equilibrium set" and connecting with the asymptotics of the partial Bergman functions coming from …