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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap98-3-2,
author = {Krzysztof Jan Nowak},
title = {The Abhyankar-Jung theorem for excellent henselian subrings of formal power series},
journal = {Annales Polonici Mathematici},
volume = {98},
year = {2010},
pages = {221-229},
zbl = {1189.13016},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap98-3-2}
}
Krzysztof Jan Nowak. The Abhyankar-Jung theorem for excellent henselian subrings of formal power series. Annales Polonici Mathematici, Tome 98 (2010) pp. 221-229. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap98-3-2/