Title of article :
Singularities of the Modular Curve
Author/Authors :
Alexander Klyachko، نويسنده , , Orhun Kara، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2001
Pages :
6
From page :
415
To page :
420
Abstract :
Let X0(ℓ) be the modular curve, parameterizing cyclic isogenies of degree ℓ, and Z0(ℓ) be its plane model, given by the classical modular equation Φℓ(X, Y)=0. We prove that all singularities of Z0(ℓ), except two cusps, are intersections of smooth branches, and evaluate the order of contact of these branches.
Journal title :
Finite Fields and Their Applications
Serial Year :
2001
Journal title :
Finite Fields and Their Applications
Record number :
701021
Link To Document :
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