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

Krzysztof Jan Nowak

Annales Polonici Mathematici (2010)

  • Volume: 98, Issue: 3, page 221-229
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Krzysztof Jan Nowak. "The Abhyankar-Jung theorem for excellent henselian subrings of formal power series." Annales Polonici Mathematici 98.3 (2010): 221-229. <http://eudml.org/doc/280417>.

@article{KrzysztofJanNowak2010,
abstract = {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.},
author = {Krzysztof Jan Nowak},
journal = {Annales Polonici Mathematici},
language = {eng},
number = {3},
pages = {221-229},
title = {The Abhyankar-Jung theorem for excellent henselian subrings of formal power series},
url = {http://eudml.org/doc/280417},
volume = {98},
year = {2010},
}

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
VL - 98
IS - 3
SP - 221
EP - 229
AB - 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.
LA - eng
UR - http://eudml.org/doc/280417
ER -

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