Congruences of models of elliptic curves
Language
en
Article de revue
This item was published in
J. London Math. Soc. 2013, vol. 88, p. 899-924
English Abstract
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 ...Read more >
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).Read less <
Origin
Hal imported