Universität zu Köln

Kaufmann, Lucas (2019). Density and intersection of (1,1)-currents. J. Funct. Anal., 277 (2). S. 392 - 418. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1096-0783

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Abstract

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. (C) 2019 Elsevier Inc. All rights reserved.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Kaufmann, Lucas UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-135166
DOI:	10.1016/j.jfa.2019.04.001
Journal or Publication Title:	J. Funct. Anal.
Volume:	277
Number:	2
Page Range:	S. 392 - 418
Date:	2019
Publisher:	ACADEMIC PRESS INC ELSEVIER SCIENCE
Place of Publication:	SAN DIEGO
ISSN:	1096-0783
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language CURRENTS Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/13516