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Semistable models of elliptic curves over residue characteristic 2

Published online by Cambridge University Press:  29 April 2020

Jeffrey Yelton*
Affiliation:
Emory University, Mathematics & Science Center, Suite E431, Atlanta, Georgia30322, USA

Abstract

Given an elliptic curve E in Legendre form $y^2 = x(x - 1)(x - \lambda )$ over the fraction field of a Henselian ring R of mixed characteristic $(0, 2)$, we present an algorithm for determining a semistable model of E over R that depends only on the valuation of $\lambda $. We provide several examples along with an easy corollary concerning $2$-torsion.

Type
Article
Copyright
© Canadian Mathematical Society 2020

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