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|Title:||Duality over p-adic Lie extensions of global fields|
|Keywords:||lie extension;global field;cohomological;invariant;number field|
|Abstract:||<p> In his monograph [Ne], Nekovar studies cohomological invariants of big Galois representations and looks at the variations of Selmer groups attached to intermediate number fields in a commutative p-adic Lie extension. In view of the formulation of the "main conjecture" for noncommutative extensions, it seems natural to extend the theory to a noncommutative p-adic Lie extension. This thesis will serve as a first step in an extension of this theory, namely, we will develop duality theorems over a noncommutative p-adic Lie extension which are extensions of Tate local duality, Poitou-Tate global duality and Grothendieck duality. </p>|
|Appears in Collections:||Open Access Dissertations and Theses|
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|Lim_Meng_F_2010_Phd.pdf||31.23 MB||Adobe PDF||View/Open|
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