Two theorems on modular curves
โ Scribed by V. G. Drinfel'd
- Publisher
- Springer US
- Year
- 1973
- Tongue
- English
- Weight
- 116 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0016-2663
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this work, we find plane models for certain Drinfeld modular curves X 0 (n) which have better properties than the plane models derived from the usual Drinfeld modular equations. As an application, we construct ring class fields over imaginary quadratic fields by using singular values of generator
We confirm a conjecture of L. Merel (H. Darmon and L. Merel, J. Reine Angew. Math. 490 (1997), 81-100) describing a certain relation between the jacobians of various quotients of X p in terms of specific correspondences. The method of proof involves reducing this conjecture to a question about certa