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MULTIPLICATIVE REDUCTION AND THE CYCLOTOMIC MAIN CONJECTURE FOR GL(2)

Author(s): Skinner, Christopher M.

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Abstract: We show that the cyclotomic Iwasawa-Greenberg main conjecture holds for a large class of modular forms with multiplicative reduction at p, extending previous results for the good ordinary case. In fact, the multiplicative case is deduced from the good case through the use of Hida families and a simple Fitting ideal argument.
Publication Date: 2016
Electronic Publication Date: 14-Jun-2016
Citation: Skinner, Christopher. (2016). MULTIPLICATIVE REDUCTION AND THE CYCLOTOMIC MAIN CONJECTURE FOR GL(2). PACIFIC JOURNAL OF MATHEMATICS, 283 (171 - 200. doi:10.2140/pjm.2016.283.171
DOI: doi:10.2140/pjm.2016.283.171
ISSN: 0030-8730
Pages: 171 - 200
Type of Material: Journal Article
Journal/Proceeding Title: PACIFIC JOURNAL OF MATHEMATICS
Version: Final published version. Article is made available in OAR by the publisher's permission or policy.



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