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<p>In this paper we study domination results in an Ax–Kochen/Ershov style for henselian valued fields of equicharacteristic zero for elements in the home sort. We obtained residue field domination results generalizing those obtained for ACVF, RCVF and henselian valued fields with bounded Galois group to the equicharacteristic zero case.</p>

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Residue field domination

  • 期刊论文

  • 发表日期：

    2025年9月29日

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  • Mariana Vicaría

摘要

In this paper we study domination results in an Ax–Kochen/Ershov style for henselian valued fields of equicharacteristic zero for elements in the home sort. We obtained residue field domination results generalizing those obtained for ACVF, RCVF and henselian valued fields with bounded Galois group to the equicharacteristic zero case.