Journal article
A p-adic analogue of the conjecture of Birch and Swinnerton-Dyer for modular abelian varieties
- Abstract:
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Mazur, Tate, and Teitelbaum gave a p-adic analogue of the Birch and Swinnerton-Dyer conjecture for elliptic curves. We provide a generalization of their conjecture in the good ordinary case to higher dimensional modular abelian varieties over the rationals by constructing the p-adic L-function of a modular abelian variety and showing that it satisfies the appropriate interpolation property. This relies on a careful normalization of the p-adic L-function, which we achieve by a comparison of pe...
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Bibliographic Details
- Publication date:
- 2012-10-09
- Source identifiers:
-
398264
Item Description
- Keywords:
- Pubs id:
-
pubs:398264
- UUID:
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uuid:fb003887-47c0-4a60-a04a-47bc88219a19
- Local pid:
- pubs:398264
- Deposit date:
- 2013-11-16
Terms of use
- Copyright date:
- 2012
- Notes:
- 33 pages, 22 tables
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