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Big and nef cohomology classes on compact Kähler spaces
Abstract
We first prove a version of the Demailly-Paun theorem for compact weakly Kaehler spaces. Secondly, for a big and nef Bott-Chern class on a compact normal Kaehler space, we prove that the restricted non-Kaehler locus, defined using Kaehler currents with weak analytic singularities, is equal to the usual non-Kaehler locus.
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BibTeX
@misc{vu2026cohomology,
title = {{Big and nef cohomology classes on compact Kähler spaces}},
author = {Duc-Viet Vu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.07489},
eprint = {2609.07489},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.07489},
}
RIS
TY - UNPB
TI - Big and nef cohomology classes on compact Kähler spaces
AU - Duc-Viet Vu
PY - 2026
DA - 2026/09/07
PB - arXiv
DO - 10.48550/arxiv.2609.07489
UR - https://arxiv.org/abs/2609.07489
AB - We first prove a version of the Demailly-Paun theorem for compact weakly Kaehler spaces. Secondly, for a big and nef Bott-Chern class on a compact normal Kaehler space, we prove that the restricted non-Kaehler locus, defined using Kaehler currents with weak analytic singularities, is equal to the usual non-Kaehler locus.
ER -