The inductive wedge product of positive currents
(English)Manuscript (preprint) (Other academic)
In this paper, we discuss the wedge product of positive pluriharmonic (resp. plurisubharmonic) current of bidimension $(p,p)$ with the Monge-Ampère operator of plurisubharmonic function. In the first part of the paper, we define this product when the locus points of the plurisubharmonic function are located in a (2p-2)-dimensional closed set (resp. (2p-4)-dimensional sets), in the sense of Hartogs. The second part treats the case when these locus points are contained in a compact complete pluripolar sets and p≥ 2 (resp. p≥3).
Wedge product of currents, plurisubharmonic currents, plurisubharmonic functions
IdentifiersURN: urn:nbn:se:su:diva-71026OAI: oai:DiVA.org:su-71026DiVA: diva2:483580