Partial Okounkov bodies and Duistermaat--Heckman measures of non-Archimedean metrics
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866908400522100736 |
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| author | Xia, Mingchen |
| author_facet | Xia, Mingchen |
| contents | Let $X$ be a smooth projective variety. We construct partial Okounkov bodies associated to Hermitian pseudo-effective line bundles $(L,ϕ)$ on $X$. We show that partial Okounkov bodies are universal invariants of the singularity of $ϕ$. As an application, we generalize the theorem of Boucksom--Chen and construct Duistermaat--Heckman measures associated with finite energy metrics on the Berkovich analytification of an ample line bundle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_04290 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Partial Okounkov bodies and Duistermaat--Heckman measures of non-Archimedean metrics Xia, Mingchen Algebraic Geometry Complex Variables Differential Geometry Let $X$ be a smooth projective variety. We construct partial Okounkov bodies associated to Hermitian pseudo-effective line bundles $(L,ϕ)$ on $X$. We show that partial Okounkov bodies are universal invariants of the singularity of $ϕ$. As an application, we generalize the theorem of Boucksom--Chen and construct Duistermaat--Heckman measures associated with finite energy metrics on the Berkovich analytification of an ample line bundle. |
| title | Partial Okounkov bodies and Duistermaat--Heckman measures of non-Archimedean metrics |
| topic | Algebraic Geometry Complex Variables Differential Geometry |
| url | https://arxiv.org/abs/2112.04290 |