# The Iwasawa Main Conjectures for GL(2)

## Author(s): Skinner, Christopher M.; Urban, Eric

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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). Publication Date: Jan-2014 Electronic Publication Date: 23-May-2013 Citation: Skinner, Christopher, Urban, Eric. (2014). The Iwasawa Main Conjectures for GL(2). INVENTIONES MATHEMATICAE, 195 (1 - 277). doi:10.1007/s00222-013-0448-1 DOI: doi:10.1007/s00222-013-0448-1 ISSN: 0020-9910 EISSN: 1432-1297 Pages: 1 - 277 Type of Material: Journal Article Journal/Proceeding Title: INVENTIONES MATHEMATICAE Version: Author's manuscript