KASS seminar

Abstract: In this presentation, we consider generalized (mixed) Monge–Ampère products of quasiplurisubharmonic functions (with and without analytic singularities) as they were introduced and studied in several articles written by subsets of M. Andersson, Z. Błocki, R. Lärkäng, H. Raufi, J. Ruppenthal, E. Wulcan and the speaker. Continuing our last presentation, we discuss their applications using Lelong number estimates of them. Among others, we obtain the following generalization of a result by X. Wu. If the nonnef locus of a pseudoeffective vector bundle E on a Kähler manifold is contained in a countable union of k-codimensional analytic sets, and if the k-power of the first Chern class of E is trivial, then E is nef.