On Lelong numbers of generalized Monge–Ampère products

We consider generalized (mixed) Monge–Ampère products of quasiplurisubharmonic functions (with and without analytic singularities) as they were introduced studied in several articles written by subsets Andersson, Wulcan, Błocki, Lärkäng, Raufi, Ruppenthal, the author. continue these studies present estimates for Lelong numbers pushforwards such proper holomorphic submersions. Furthermore, we apply to Chern Segre currents pseudoeffective vector bundles. Among other corollaries, obtain following generalization a recent result Wu. If non-nef locus bundle E on Kähler manifold is contained countable union k-codimensional sets, if k-power first class trivial, then nef.