The Abhyankar–Jung theorem for excellent
henselian subrings of formal power series
Annales Polonici Mathematici, Tome 98 (2010) no. 3, pp. 221-229
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 $K[[z]]$. In particular, examples include the local rings which form a Weierstrass system over the field $K$.
Keywords:
given algebraically closed field characteristic zero prove abhyankar jung theorem excellent henselian ring whose completion formal power series ring particular examples include local rings which form weierstrass system field
Affiliations des auteurs :
Krzysztof Jan Nowak  1
@article{10_4064_ap98_3_2,
author = {Krzysztof Jan Nowak},
title = {The {Abhyankar{\textendash}Jung} theorem for excellent
henselian subrings of formal power series},
journal = {Annales Polonici Mathematici},
pages = {221--229},
year = {2010},
volume = {98},
number = {3},
doi = {10.4064/ap98-3-2},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap98-3-2/}
}
TY - JOUR AU - Krzysztof Jan Nowak TI - The Abhyankar–Jung theorem for excellent henselian subrings of formal power series JO - Annales Polonici Mathematici PY - 2010 SP - 221 EP - 229 VL - 98 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4064/ap98-3-2/ DO - 10.4064/ap98-3-2 LA - en ID - 10_4064_ap98_3_2 ER -
Krzysztof Jan Nowak. The Abhyankar–Jung theorem for excellent henselian subrings of formal power series. Annales Polonici Mathematici, Tome 98 (2010) no. 3, pp. 221-229. doi: 10.4064/ap98-3-2
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