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Semistable models of elliptic curves over residue characteristic 2
Published online by Cambridge University Press: 29 April 2020
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.
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- © Canadian Mathematical Society 2020
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