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The Ramification Polygon for Curves over a Finite Field
Published online by Cambridge University Press: 20 November 2018
Abstract
A Newton polygon is introduced for a ramified point of a Galois covering of curves over a finite field. It is shown to be determined by the sequence of higher ramification groups of the point. It gives a blowing up of the wildly ramified part which separates the branches of the curve. There is also a connection with local reciprocity.
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- Copyright © Canadian Mathematical Society 2003
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