The Iwasawa Main Conjectures for GL2

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Abstract

We prove the one-, two-, and three-variable Iwasawa-Greenberg Main Conjectures for a large class of modular forms that are ordinary with respect to an odd prime p. The method of proof involves an analysis of an Eisenstein ideal for ordinary Hida families for GU(2,2).

Original languageEnglish (US)
Pages (from-to)1-277
Number of pages277
JournalInventiones Mathematicae
Volume195
Issue number1
DOIs
StatePublished - Jan 1 2014

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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