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On Relations between Jacobians of Certain Modular Curves

โœ Scribed by Imin Chen

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
228 KB
Volume
231
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

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 certain Z GL 2 F pmodule homomorphisms, which is in turn answered by exhibiting some peculiar relations in a double coset algebra.

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