An algebraic approach to the existence of valuative interpolation
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866914303937871872 |
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| author | Bao, Shijie Guan, Qi'an Mi, Zhitong Yuan, Zheng |
| author_facet | Bao, Shijie Guan, Qi'an Mi, Zhitong Yuan, Zheng |
| contents | An algebraic approach is presented for the valuative interpolation problem, which recovers and generalizes prior characterizations known in the complex analytic setting by the authors. We use the asymptotic Samuel function to give the characterization of the existence of valuative interpolation. We also give a characterization of the existence in the infinite valuative interpolation problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_03179 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | An algebraic approach to the existence of valuative interpolation Bao, Shijie Guan, Qi'an Mi, Zhitong Yuan, Zheng Commutative Algebra Algebraic Geometry Classical Analysis and ODEs Complex Variables 13A18, 14F18, 32S05 An algebraic approach is presented for the valuative interpolation problem, which recovers and generalizes prior characterizations known in the complex analytic setting by the authors. We use the asymptotic Samuel function to give the characterization of the existence of valuative interpolation. We also give a characterization of the existence in the infinite valuative interpolation problem. |
| title | An algebraic approach to the existence of valuative interpolation |
| topic | Commutative Algebra Algebraic Geometry Classical Analysis and ODEs Complex Variables 13A18, 14F18, 32S05 |
| url | https://arxiv.org/abs/2602.03179 |