LIU, Qing; LU, Huajun

doi:10.1112/jlms/jdt049

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LIU, Qing
Équipe Théorie des Nombres

LU, Huajun
Institut de Mathématiques de Bordeaux [IMB]
Morningside Center of Mathematics [MCM]

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J. London Math. Soc. 2013, vol. 88, p. 899-924

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Let O_K be discrete valuation ring with a field of fractions K and a perfect residue field. Let E be an elliptic curve over K , let L/K be a finite Galois extension and let O_L be the integral closure of O_K in L. Denote by X' the minimal regular model of E_L over O_L . We show that the special fibers of the minimal Weierstrass model and the minimal regular model of E over O_K are determined by the infinitesimal fiber X'_m together with the action of Gal(L/K ), when m is big enough (depending on the minimal discriminant of E and the different of L/K).< Leer menos

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Congruences of models of elliptic curves

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