Transcendental b-divisors I -- Correspondence with currents

Fuente: arXiv
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Autore principale: Xia, Mingchen
Natura: Preprint
Pubblicazione: 2026
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author Xia, Mingchen
author_facet Xia, Mingchen
contents We study transcendental b-divisors over compact Kähler 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.
format Preprint
id arxiv_https___arxiv_org_abs_2603_14348
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Transcendental b-divisors I -- Correspondence with currents
Xia, Mingchen
Algebraic Geometry
Complex Variables
Differential Geometry
We study transcendental b-divisors over compact Kähler 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.
title Transcendental b-divisors I -- Correspondence with currents
topic Algebraic Geometry
Complex Variables
Differential Geometry
url https://arxiv.org/abs/2603.14348