Endomorphisms of Jacobians of modular curves
โ Scribed by Ernst Kani
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 217 KB
- Volume
- 91
- Category
- Article
- ISSN
- 0003-889X
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๐ SIMILAR VOLUMES
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
Very little is known about the existence of curves, and families of curves, whose Jacobians are acted on by large rings of endomorphisms. In this paper, we show the existence of curves X with an injection K / ร Hom(Jac(X ), Jac(X )) Z Q, where K is a subfield of even index at most 10 in a primitive