Relative non-pluripolar product of currents

Let X be a compact Kähler 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...

Full description

Saved in:
Bibliographic Details
Published in:Annals of global analysis and geometry 2021-09, Vol.60 (2), p.269-311
Main Author: Vu, Duc-Viet
Format: Article
Language:English
Subjects:
Analysis
Convexity
Differential Geometry
Geometry
Global Analysis and Analysis on Manifolds
Intersections
Mathematical Physics
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Let X be a compact Kähler 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 .
ISSN:0232-704X
1572-9060
DOI:10.1007/s10455-021-09780-7