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arXiv · 2609.07489

Big and nef cohomology classes on compact K\"ahler spaces

Duc-Viet Vu
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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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Duc-Viet Vu. 2026-09-07. Big and nef cohomology classes on compact K\"ahler spaces. https://arxiv.org/abs/2609.07489

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