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Semi-stabilité des courbes elliptiques

Nicolas Billerey — 2009

Let K be a finite extension of ℚ₂ complete with a discrete valuation v, K̅ an algebraic closure of K, and $K_{n r}$ its maximal unramified subextension. Let E be an elliptic curve defined over K with additive reduction over K and having an integral modular invariant j. There exists a smallest extension L of $K_{n r}$ over which E has good reduction. For some congruences modulo 12 of the valuation v(j) of j, we give the degree of the extension $L / K_{n r}$ . When K is a quadratic ramified extension of ℚ₂, we determine explicitly...

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