Singularity of non‐pluripolar cohomology classes
Abstract
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.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Geometric and Algebraic Topology
Commutative Algebra and Its Applications
Publication details
- Journal / source
- Bulletin of the London Mathematical Society
- Volume
- 58
- Issue
- 9
- Publication date
- 19 August 2026
- Language
- EN