Singularity of non‐pluripolar cohomology classes
Abstract We establish a relation between Lelong numbers and the full mass property of relative non‐pluripolar products. We use this relation to prove that if the restricted volume of a big class along an effective divisor has full mass, then the Lelong numbers of the non‐pluripolar class at every point in the support of are zero. In particular, we obtain that on projective manifolds, the Lelong numbers of the non‐pluripolar class of a big class are zero.
Authors
- Duc‐Viet Vu (ORCID: https://orcid.org/0000-0002-0532-4966)
- Shuang Su (ORCID: https://orcid.org/0000-0002-7204-9423)
- Duc-Bao Nguyen
Institutions
- TH Köln - University of Applied Sciences (DE)
- National University of Singapore (SG)
- University of Cologne (DE)
- Institute for Basic Science (KR)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2026-08-19
- DOI
- https://doi.org/10.1112/blms.70480
- Primary Topic
- Homotopy and Cohomology in Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Ophthalmic Research Institute of Australia
- Deutsche Forschungsgemeinschaft