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arXiv · 2602.03179

An algebraic approach to the existence of valuative interpolation

Shijie Bao·Qi'an Guan·Zhitong Mi·Zheng Yuan
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Abstract

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.

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Shijie Bao, Qi'an Guan, Zhitong Mi, Zheng Yuan. 2026-02-03. An algebraic approach to the existence of valuative interpolation. https://arxiv.org/abs/2602.03179

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