Flats in the space of Kähler metrics and Okounkov bodies
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866915583660916736 |
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| author | Reboulet, Rémi |
| author_facet | Reboulet, Rémi |
| contents | We study sufficient conditions for the existence of flat subspaces in the space of continuous plurisubharmonic metrics on a polarised complex projective manifold, relying on the generalised Legendre transform to the Okounkov body defined by Witt Nystrom, and a result of Schwer--Lytchak. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_00251 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Flats in the space of Kähler metrics and Okounkov bodies Reboulet, Rémi Differential Geometry Algebraic Geometry Complex Variables We study sufficient conditions for the existence of flat subspaces in the space of continuous plurisubharmonic metrics on a polarised complex projective manifold, relying on the generalised Legendre transform to the Okounkov body defined by Witt Nystrom, and a result of Schwer--Lytchak. |
| title | Flats in the space of Kähler metrics and Okounkov bodies |
| topic | Differential Geometry Algebraic Geometry Complex Variables |
| url | https://arxiv.org/abs/2110.00251 |