On the effective YTD conjecture
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911148068044800 |
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| author | Delcroix, Thibaut |
| author_facet | Delcroix, Thibaut |
| contents | We formulate an effective variant of the Yau-Tian-Donaldson conjecture, then review effective results on K-stability of spherical varieties, that is, K-stability criterions which can be effectively computed given the combinatorial data associated with the variety. We focus on the standard notion of K-stability as defined by Donaldson for constant scalar curvature Kähler metrics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_08760 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the effective YTD conjecture Delcroix, Thibaut Algebraic Geometry Complex Variables Differential Geometry We formulate an effective variant of the Yau-Tian-Donaldson conjecture, then review effective results on K-stability of spherical varieties, that is, K-stability criterions which can be effectively computed given the combinatorial data associated with the variety. We focus on the standard notion of K-stability as defined by Donaldson for constant scalar curvature Kähler metrics. |
| title | On the effective YTD conjecture |
| topic | Algebraic Geometry Complex Variables Differential Geometry |
| url | https://arxiv.org/abs/2509.08760 |