Density and intersection of (1,1)-currents
Artikel i vetenskaplig tidskrift, 2019

We study density currents associated with a collection of positive closed (1,1)-currents on a complex manifold. We prove that the density current is unique and determined by the usual wedge product in some classical situations including the case where the currents have bounded potentials. As an application, we compare density currents with the non-pluripolar product and the Andersson-Wulcan product. We also analyse some situations where the wedge product is not well-defined but the density can be explicitly computed.

Pluripotential theory

Monge-Ampère operator

Density currents

Intersection theory

Författare

Lucas Kaufmann Sacchetto

Chalmers, Matematiska vetenskaper, Algebra och geometri

Duc Viet Vu

Korea Institute for Advanced Study

Journal of Functional Analysis

0022-1236 (ISSN) 1096-0783 (eISSN)

Ämneskategorier

Produktionsteknik, arbetsvetenskap och ergonomi

Geometri

Matematisk analys

DOI

10.1016/j.jfa.2019.04.001

Mer information

Senast uppdaterat

2019-08-22