Mobile Product and Zariski decomposition

Abstract

We explain the relationship between ${\alpha }_1...{\alpha }_q$ (standard cohomology product) and $({\alpha }_1...{\alpha }_q)$ (mobile intersection product) of pseudo-effective classes ${\alpha }_1,...,{\alpha }_q$ on a compact K$\ddot{a}$hler 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.

new version of arXiv:1301.1477

Cited by in corpus (1)

• Movable intersection and bigness criterion