紀要論文 ON THE VANISHING OF COHOMOLOGIES OF p-ADIC GALOIS REPRESENTATIONS ASSOCIATED WITH ELLIPTIC CURVES

Dimabayao, Jarome T.

69 ( 2 )  , pp.367 - 386 , 2015-10-13 , Faculty of Mathematics, Kyushu University
ISSN:1340-6116
NII書誌ID(NCID):AA10994346
内容記述
Let K be a p-adic field and let E be an elliptic curve over K with potential good reduction. For some large Galois extension L of K containing all p-power roots of unity, we show the vanishing of certain Galois cohomology groups of L with values in the p-adic representation associated with E. We use these to prove analogous results in the global case. This generalizes some results of Coates, Sujatha and Wintenberger.

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