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The Ramification Polygon for Curves over a Finite Field

  Published:2003-03-01
 Printed: Mar 2003
  • John Scherk
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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.
MSC Classifications: 11G20 show english descriptions Curves over finite and local fields [See also 14H25] 11G20 - Curves over finite and local fields [See also 14H25]
 

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