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.
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页码：221 / 229
页数：9
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