The Abhyankar-Jung theorem for excellent henselian subrings of formal power series

被引：3

作者：

Nowak, Krzysztof Jan ^{[1
]}

机构：

[1] Jagiellonian Univ, Inst Math, PL-30348 Krakow, Poland

来源：

ANNALES POLONICI MATHEMATICI | 2010年 / 98卷 / 03期

关键词：

Abhyankar-Jung theorem; excellent henselian rings; formal power series; APPROXIMATION PROPERTY; ALGEBRAIC FUNCTIONS; RINGS;

D O I：

10.4064/ap98-3-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given an algebraically closed field K of characteristic zero, we prove the Abhyankar-Jung theorem for any excellent henselian ring whose completion is a formal power series ring KN. In particular, examples include the local rings which form a Weierstrass system over the field K.

引用

页码：221 / 229

页数：9

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