Mobile Product and Zariski decomposition

الأصل · EN

We explain the relationship between α₁...αq (standard cohomology product) and (α₁...αq) (mobile intersection product) of pseudo-effective classes α₁,...,αq on a compact Kahler manifold. We also show how to use this relationship for proving some holomorphic Morse inequalities. Then we prove a result concerning the direct image of Lelong numbers under a modification in dimension 3, deriving a continuity property for the Lelong numbers of the wedge of (1,1)-currents.