The weigthed Monge-Ampère energy of quasiplurisubharmonic functions

Vincent Guedj, Ahmed Zeriahi

We study degenerate complex Monge-Ampère equations on a compact Kähler manifold $(X,\omega )$. We show that the complex Monge-Ampère operator $(\omega +d{d}^c\cdot {)}^n$ is well-defined on the c…