Geodesic
The Ramification Polygon for Curves over a Finite Field
Canadian mathematical bulletin, Tome 46 (2003) no. 1, pp. 149-156

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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.
DOI : 10.4153/CMB-2003-015-9
Mots-clés : 11G20 
Scherk, John. The Ramification Polygon for Curves over a Finite Field. Canadian mathematical bulletin, Tome 46 (2003) no. 1, pp. 149-156. doi: 10.4153/CMB-2003-015-9
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     title = {The {Ramification} {Polygon} for {Curves} over a {Finite} {Field}},
     journal = {Canadian mathematical bulletin},
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     year = {2003},
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     number = {1},
     doi = {10.4153/CMB-2003-015-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2003-015-9/}
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