Real Algebraic and Analytic Geometry

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304. Krzysztof Jan Nowak:
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.

Full text, 12p.: dvi 38k, ps.gz 246k, pdf 95k.


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