A remark on Tate's algorithm and Kodaira types
Number Theory
2013-09-23 v2
Abstract
We remark that Tate's algorithm to determine the minimal model of an elliptic curve can be stated in a way that characterises Kodaira types from the minimum of v(a_i)/i. As an application, we deduce the behaviour of Kodaira types in tame extensions of local fields.
Cite
@article{arxiv.1209.1414,
title = {A remark on Tate's algorithm and Kodaira types},
author = {Tim Dokchitser and Vladimir Dokchitser},
journal= {arXiv preprint arXiv:1209.1414},
year = {2013}
}
Comments
6 pages (minor changes)