Universität zu Köln

Vu, Duc-Viet (2021). Relative non-pluripolar product of currents. Ann. Glob. Anal. Geom., 60 (2). S. 269 - 312. DORDRECHT: SPRINGER. ISSN 1572-9060

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Abstract

Let X be a compact Kahler manifold. Let T-1, ..., T-m be closed positive currents of bi-degree (1, 1) on X and T an arbitrary closed positive current on X. We introduce the non-pluripolar product relative to T of T-1, ..., T-m. We recover the well-known non-pluripolar product of T-1, ..., T-m when T is the current of integration along X. Our main results are a monotonicity property of relative non-pluripolar products, a necessary condition for currents to be of relative full mass intersection in terms of Lelong numbers, and the convexity of weighted classes of currents of relative full mass intersection. The former two results are new even when T is the current of integration along X.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Vu, Duc-Viet UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-563869
DOI:	10.1007/s10455-021-09780-7
Journal or Publication Title:	Ann. Glob. Anal. Geom.
Volume:	60
Number:	2
Page Range:	S. 269 - 312
Date:	2021
Publisher:	SPRINGER
Place of Publication:	DORDRECHT
ISSN:	1572-9060
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language AMPERE; MONOTONICITY Multiple languages Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/56386