Transcendental b-divisors I -- Correspondence with currents
Algebraic Geometry
2026-03-17 v1 Complex Variables
Differential Geometry
Abstract
We study transcendental b-divisors over compact K\"ahler manifolds. We establish the correspondence between closed positive currents and nef b-divisors. As an application, we establish the intersection theory of nef b-divisors, answering a question of Dang--Favre.
Keywords
Cite
@article{arxiv.2603.14348,
title = {Transcendental b-divisors I -- Correspondence with currents},
author = {Mingchen Xia},
journal= {arXiv preprint arXiv:2603.14348},
year = {2026}
}