Finitude des couples d'invariants modulaires singuliers sur une courbe algébrique plane non modulaire

Yves André

doi:10.1515/crll.1998.505.203

Published by De Gruyter June 11, 2008

Finitude des couples d'invariants modulaires singuliers sur une courbe algébrique plane non modulaire

Yves André

From the journal Journal für die reine und angewandte Mathematik

https://doi.org/10.1515/crll.1998.505.203

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Abstract

Let S be an irreducible algebraic curve in the affine complex plane. Assume that S is neither a horizontal Une, nor a vertical line, nor a modular curve Y₀(N) (for any integer N ≧ 1). Then there are only finitely many points P of S such that both coordinates of P are singular moduli (i.e. invariants of elliptic curves with complex multiplication).

Received: 1997-07-17

Accepted: 1998-05-26

Published Online: 2008-06-11

Published in Print: 1998-12-16

Finitude des couples d'invariants modulaires singuliers sur une courbe algébrique plane non modulaire

Abstract

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