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SEMISTABLE MODELS OF ELLIPTIC CURVES OVER RESIDUE CHARACTERISTIC 2
Canadian Mathematical Bulletin ( IF 0.5 ) Pub Date : 2020-04-29 , DOI: 10.4153/s0008439520000326
Jeffrey Yelton

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 $R$ which depends only on the valuation of $\lambda$. We provide several examples along with an easy corollary concerning $2$-torsion.

中文翻译:

残留物特性 2 上的椭圆曲线的可测量模型

给定在混合特征 $(0, 2)$ 的 Henselian 环 $R$ 的分数域上以勒让德形式 $y^2 = x(x - 1)(x - \lambda)$ 的椭圆曲线 $E$,我们提出了一种算法,用于确定 $E$ 超过 $R$ 的半稳定模型,该模型仅取决于 $\lambda$ 的估值。我们提供了几个例子以及一个关于 $2$-torsion 的简单推论。
更新日期:2020-04-29
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