 |
|
The Ramification Polygon for Curves over a Finite Field |
Canad. Math. Bull. 46(2003), 149-156
Published:2003-03-01
Printed: Mar 2003
Printed: Mar 2003
- John Scherk
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 - Curves over finite and local fields [See also 14H25] |