Divisorial Zariski Decomposition and some properties of full mass currents

Eleonora Di Nezza, Enrica Floris, Stefano Trapani

Let $\alpha$ be a big class on a compact Kähler manifold. We prove that a decomposition $\alpha ={\alpha }_1+{\alpha }_2$ into the sum of a modified nef class ${\alpha }_1$ and a pseudoeffective class ${\alpha }_2$ is the d…