From complex to non-Archimedean geometry: an approach to the YTD conjecture
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866914580027932672 |
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| author | Boucksom, Sébastien Jonsson, Mattias |
| author_facet | Boucksom, Sébastien Jonsson, Mattias |
| contents | These notes expand on talks given by the authors at the 2025 Summer Research Institute in Algebraic Geometry in Fort Collins, Colorado. We discuss the relation between algebraic, analytic, and non-Archimedean geometry over the complex numbers, and sketch a proof of a version of the Yau--Tian--Donaldson conjecture for constant scalar curvature Kähler metrics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_10800 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | From complex to non-Archimedean geometry: an approach to the YTD conjecture Boucksom, Sébastien Jonsson, Mattias Algebraic Geometry Differential Geometry 14G22 (Primary) 32Q26, 32U35 (Secondary) These notes expand on talks given by the authors at the 2025 Summer Research Institute in Algebraic Geometry in Fort Collins, Colorado. We discuss the relation between algebraic, analytic, and non-Archimedean geometry over the complex numbers, and sketch a proof of a version of the Yau--Tian--Donaldson conjecture for constant scalar curvature Kähler metrics. |
| title | From complex to non-Archimedean geometry: an approach to the YTD conjecture |
| topic | Algebraic Geometry Differential Geometry 14G22 (Primary) 32Q26, 32U35 (Secondary) |
| url | https://arxiv.org/abs/2602.10800 |