The Algebraic Closure of the Power Series Field in Positive Characteristic
classification
🧮 math.AG
math.ACmath.RA
keywords
characteristicfieldpowerseriesalgebraicclosurepositiveabhyankar
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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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