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Mathematics > Complex Variables
Title: Volumes of components of Lelong upper level sets II
(Submitted on 22 Apr 2024)
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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