Intersection of (1,1)-currents and the domain of definition of the Monge-Ampere operator

Dinh Tuan Huynh, Lucas Kaufmann, Duc-Viet Vu

We study the Monge-Amp\` ere operator within the framework of Dinh-Sibony's intersection theory defined via density currents. We show that if $u$ is a plurisubharmonic function bel…