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Abstract <p> Let <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathbb K\)</EquationSource> </InlineEquation> be an algebraically closed non-Archimedean field with characteristic zero such that it is complete for a nontrivial non-Archimedean absolute value. In this note, we construct examples of bi-<InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(URS\)</EquationSource> </InlineEquation> for <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\mathcal M(\mathbb K)\)</EquationSource> </InlineEquation> of the form <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\{a_1, a_2, a_3, a_4\}, \{\omega \}\)</EquationSource> </InlineEquation>. </p>

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A Note on Bi-URS for Meromorphic Functions Over a Non-Archimedean Field

  • 期刊论文

  • 发表日期：

    2026年3月10日

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  • Phan Duc Tuan

摘要

Abstract

Let \(\mathbb K\) be an algebraically closed non-Archimedean field with characteristic zero such that it is complete for a nontrivial non-Archimedean absolute value. In this note, we construct examples of bi- \(URS\) for \(\mathcal M(\mathbb K)\) of the form \(\{a_1, a_2, a_3, a_4\}, \{\omega \}\) .