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Eichler-Shimura cohomology groups and the Iwasawa main conjecture

<p> Ohta has given a detailed study of the ordinary part of <i>p</i>-adic Eichler-Shimura cohomology groups (resp., generalized <i> p</i>-adic Eichler-Shimura cohomology groups) from the perspective of <i> p</i>-adic Hodge theory. Assuming various hypotheses, he is able to use the structure of these groups to give a simple proof of the Iwasawa main conjecture over <b>Q.</b> The goal of this thesis is to extend Ohta&rsquo;s arguments with a view towards removing these hypotheses.</p>

Identiferoai:union.ndltd.org:PROQUEST/oai:pqdtoai.proquest.com:3702136
Date22 May 2015
CreatorsLafferty, Matthew J.
PublisherThe University of Arizona
Source SetsProQuest.com
LanguageEnglish
Detected LanguageEnglish
Typethesis

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