Lelong numbers of currents of full mass intersection

Abstract

We study Lelong numbers of currents of full mass intersection on a compact K\"ahler manifold in a mixed setting. Our main theorems cover some recent results due to Darvas-Di Nezza-Lu. The key ingredient in our approach is a new notion of products of pseudoeffective $(1,1)$-classes which captures some ``pluripolar part'' of the ``total intersection'' of given pseudoeffective $(1,1)$-classes.