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Su, Shuang ORCID: 0000-0001-9764-9858 and Vu, Duc-Viet ORCID: 0000-0002-0532-4966 (2025). Volumes of components of Lelong upper level sets II. Mathematische Annalen, 391 (4). pp. 6451-6465. Springer Nature. ISSN 0025-5831

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Abstract

Let X be a compact Kähler manifold of dimension n , and let T be a closed positive (1, 1)-current in a nef cohomology class on X . We establish an optimal upper bound for the volume of components of Lelong upper level sets of T in terms of cohomology classes of non-pluripolar self-products of T.

Item Type:	Article
Creators:	Creators Email ORCID ORCID Put Code Su, Shuang UNSPECIFIED https://orcid.org/0000-0001-9764-9858 UNSPECIFIED Vu, Duc-Viet UNSPECIFIED https://orcid.org/0000-0002-0532-4966 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-792256
Identification Number:	10.1007/s00208-024-03079-1
Journal or Publication Title:	Mathematische Annalen
Volume:	391
Number:	4
Page Range:	pp. 6451-6465
Number of Pages:	15
Date:	13 April 2025
Publisher:	Springer Nature
ISSN:	0025-5831
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects:	Mathematics
['eprint_fieldname_oa_funders' not defined]:	Publikationsfonds UzK
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/79225