An algebraic approach to the existence of valuative interpolation
Commutative Algebra
2026-02-04 v1 Algebraic Geometry
Classical Analysis and ODEs
Complex Variables
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.
Cite
@article{arxiv.2602.03179,
title = {An algebraic approach to the existence of valuative interpolation},
author = {Shijie Bao and Qi'an Guan and Zhitong Mi and Zheng Yuan},
journal= {arXiv preprint arXiv:2602.03179},
year = {2026}
}
Comments
18 pages