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arXiv · 2404.14058

Volumes of components of Lelong upper level sets II

Shuang Su·Duc-Viet Vu
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Abstract

Let $X$ be a compact K\"ahler manifold of dimension $n$, and let $T$ be a closed positive $(1,1)$-current in a nef cohomology class on $X$. We establish an optimal upper bound for the volume of components of Lelong upper level sets of $T$ in terms of cohomology classes of non-pluripolar self-products of $T$.

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Shuang Su, Duc-Viet Vu. 2024-04-22. Volumes of components of Lelong upper level sets II. https://arxiv.org/abs/2404.14058

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