A remark on Tate's algorithm and Kodaira types

Tim Dokchitser, and Vladimir Dokchitser. "A remark on Tate's algorithm and Kodaira types." Acta Arithmetica 160.1 (2013): 95-100. <http://eudml.org/doc/279809>.

@article{TimDokchitser2013,
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.},
author = {Tim Dokchitser, Vladimir Dokchitser},
journal = {Acta Arithmetica},
keywords = {Tate's algorithm; minimal model; elliptic curve; Kodaira type; minimal discriminant},
language = {eng},
number = {1},
pages = {95-100},
title = {A remark on Tate's algorithm and Kodaira types},
url = {http://eudml.org/doc/279809},
volume = {160},
year = {2013},
}

TY - JOUR
AU - Tim Dokchitser
AU - Vladimir Dokchitser
TI - A remark on Tate's algorithm and Kodaira types
JO - Acta Arithmetica
PY - 2013
VL - 160
IS - 1
SP - 95
EP - 100
AB - 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.
LA - eng
KW - Tate's algorithm; minimal model; elliptic curve; Kodaira type; minimal discriminant
UR - http://eudml.org/doc/279809
ER -