Volumes of components of Lelong upper level sets II
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911848580775936 |
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| author | Su, Shuang Vu, Duc-Viet |
| author_facet | Su, Shuang Vu, Duc-Viet |
| contents | Let $X$ be a compact Kähler 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 $T$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_14058 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Volumes of components of Lelong upper level sets II Su, Shuang Vu, Duc-Viet Complex Variables Algebraic Geometry Let $X$ be a compact Kähler 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 $T$. |
| title | Volumes of components of Lelong upper level sets II |
| topic | Complex Variables Algebraic Geometry |
| url | https://arxiv.org/abs/2404.14058 |