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Annihilating Selmer modules
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James Barrett
Published/Copyright:
March 29, 2012
Abstract
We prove that for a wide class of motives the local and global non-commutative Tamagawa number conjectures of Fukaya and Kato imply certain explicit restrictions on the Galois structure of Selmer modules (in the sense of Bloch and Kato). We thereby obtain a variety of new, concrete and very general conjectures concerning the structures of Selmer modules. In several important cases we then prove these conjectures.
Received: 2011-01-12
Revised: 2011-05-20
Published Online: 2012-03-29
Published in Print: 2013-02
©[2013] by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Curve counting theories via stable objects Ⅱ : DT/ncDT flop formula
- Derived equivalences for cotangent bundles of Grassmannians via categorical 𝔰𝔩2 actions
- n-angulated categories
- Hypertrees, projections, and moduli of stable rational curves
- Locally conformally flat quasi-Einstein manifolds
- Annihilating Selmer modules
- Fitting ideals of ℓ-adic realizations of Picard 1-motives and class groups of global function fields
