Semi-stabilité des courbes elliptiques

Nicolas Billerey

  • 2009

Abstract

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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 this degree in terms of the coefficients of a Weierstrass equation of E.

How to cite

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Nicolas Billerey. Semi-stabilité des courbes elliptiques. 2009. <http://eudml.org/doc/286035>.

@book{NicolasBillerey2009,
author = {Nicolas Billerey},
language = {fre},
title = {Semi-stabilité des courbes elliptiques},
url = {http://eudml.org/doc/286035},
year = {2009},
}

TY - BOOK
AU - Nicolas Billerey
TI - Semi-stabilité des courbes elliptiques
PY - 2009
LA - fre
UR - http://eudml.org/doc/286035
ER -

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