# Wydawnictwa / Czasopisma IMPAN / Acta Arithmetica / Wszystkie zeszyty

## A remark on Tate's algorithm and Kodaira types

### Tom 160 / 2013

Acta Arithmetica 160 (2013), 95-100 MSC: Primary 11G07. DOI: 10.4064/aa160-1-6

#### Streszczenie

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.

#### Autorzy

• Tim DokchitserDepartment of Mathematics
University of Bristol
University Walk
Bristol BS8 1TW, United Kingdom
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