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Curve singularities and graphs

✍ Scribed by Yang Jingen


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
1990
Tongue
English
Weight
557 KB
Volume
6
Category
Article
ISSN
1439-7617

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Let X (l) be the modular curve, parameterizing cyclic isogenies of degree l, and Z (l) be its plane model, given by the classical modular equation l (X, >)"0. We prove that all singularities of Z (l), except two cusps, are intersections of smooth branches, and evaluate the order of contact of these