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The Ramification Polygon for Curves over a Finite Field

Published online by Cambridge University Press:  20 November 2018

John Scherk
John Scherk*
Affiliation:
Department of Mathematics, University of Toronto, 100 St. George Street, Toronto, Ontario, M5S 3G3, email: scherk@math.toronto.edu
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Abstract

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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.

Keywords

11G20
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 46 , Issue 1 , 01 March 2003 , pp. 149 - 156
Copyright
Copyright © Canadian Mathematical Society 2003

References

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[3] Serre, J. P., Local fields. Springer-Verlag, 1979.Google Scholar