The Algebraic Closure of the Power Series Field in Positive Characteristic

Mathematics – Algebraic Geometry

Scientific paper

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12 pages; uses AMSLaTeX. Added and corrected various corollaries

Scientific paper

We answer a question of Abhyankar by constructing an algebraic closure of the
field of power series over a field of positive characteristic, using
"generalized power series". (The corresponding construction in characteristic 0
dates back to Newton.)

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