Défaut de semi-stabilité des courbes elliptiques dans le cas non ramifié

[摘要] Let $overline {Q_2}$ be an algebraic closure of $Q_2$ and $K$ be an unramifiedfinite extension of $Q_2$ included in $overline {Q_2}$. Let $E$ be an ellipticcurve defined over $K$ with additive reduction over $K$, and having an integralmodular invariant. Let us denote by $K_{nr}$ the maximal unramified extension of$K$ contained in $overline {Q_2}$. There exists a smallest finite extension $L$of $K_{nr}$ over which $E$ has good reduction. We determine in this paper thedegree of the extension $L/K_{nr}$.

[学科分类] 数学（综合）