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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2505.14006 |
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| _version_ | 1866910955786469376 |
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| author | Li, Jiangtao |
| author_facet | Li, Jiangtao |
| contents | Let (X, g, J, f ) be a non-compact gradient shrinking Kahler-Ricci soliton. We prove that if the scalar curvature of X satisfies a mild assumption, then OP (X), the ring of holomorphic functions with polynomial growth on X, is finitely generated. This gives a partial confirmation to a conjecture of Munteanu and Wang (cf.[MW14]). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_14006 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finite generation of the ring of holomorphic functions with polynomial growth on the Kähler-Ricci shrinker Li, Jiangtao Differential Geometry Let (X, g, J, f ) be a non-compact gradient shrinking Kahler-Ricci soliton. We prove that if the scalar curvature of X satisfies a mild assumption, then OP (X), the ring of holomorphic functions with polynomial growth on X, is finitely generated. This gives a partial confirmation to a conjecture of Munteanu and Wang (cf.[MW14]). |
| title | Finite generation of the ring of holomorphic functions with polynomial growth on the Kähler-Ricci shrinker |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2505.14006 |