Real Algebraic and Analytic Geometry |

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

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Submission: 2010, April 30.

*Abstract:
Given an algebraically closed field $K$ of characteristic zero, we
present 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 $K$.*

Mathematics Subject Classification (2010): 13F25, 13F40.

Keywords and Phrases: Abhyankar--Jung theorem, excellent henselian rings, formal power series.

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