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

Abstract

AbstractLet be an algebraic closure of ℚ2 and K be an unramified finite extension of ℚ2 included in . Let E be an elliptic curve defined over K with additive reduction over K, and having an integral modular invariant. Let us denote by Knr the maximal unramified extension of K contained in . There exists a smallest finite extension L of Knr over which E has good reduction. We determine in this paper the degree of the extension L/Knr.