Inégalité du discriminant pour les pinceaux elliptiques à réductions quelconques

  title={In{\'e}galit{\'e} du discriminant pour les pinceaux elliptiques {\`a} r{\'e}ductions quelconques},
  author={J. PESENTI and L. SZPIRO},
  • Published 1999
In this article the degree of the discriminant of an elliptic pencil on a projective curve is upper-bounded by using the degree of its conductor and the genus of the base curve. This is done in the most general case, extending a method and a result of Szpiro (1981 and 1990a) and a result of Hindry and Silvermann. The difficult part, dealing with characteristic 2 and 3 and additive reductions, need the introduction of a new object – which we called ‘conducteur efficace’ – defined by using… CONTINUE READING
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Elliptic function with wild ramification

  • A. P. Ogg
  • Amer . J . Math .
  • 1967
Highly Influential
3 Excerpts

Inequality for conductor and differentials of a curve over a local field

  • Q. Liu, T. Saito
  • 1998

On the conjectures of Mordell and Lang in positive characteristic

  • F. Voloch
  • Invent . Math .
  • 1991

Sur les points de torsion des courbes elliptiques

  • M. Flexor, J Oesterlé
  • 1990

Conductor , discriminant and Noether formula of arithmetic surfaces ,

  • T Saito
  • Duke Math . J .
  • 1988

The canonical height and integral point on elliptic curves

  • M. Hindry, J. H. Silvermann
  • Invent . Math .
  • 1988

Algorithm for determining the type of a singular fiber in an elliptic pencil

  • J. Tate
  • 1975

Mod̀eles minimaux des variét́es ab́eliennes sur les corps locaux et globaux

  • A. Ńeron
  • 1964

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