Hida, Haruzo

Anticyclotomic main conjectures

Doc. Math. (Bielefeld) Extra Vol. John H. Coates' Sixtieth Birthday, 465-532 (2006)


In this paper, we prove many cases of the anticyclotomic main conjecture for general CM fields with $p$-ordinary CM type.

Mathematics Subject Classification

11R23, 11F27, 11F30, 11F33, 11F41, 11F60, 11F80, 11G15, 11G18, 11R34, 11R42


Iwasawa theory, Main conjecture, CM field, anticyclotomic, Eisenstein series, CM abelian variety, Shimura series, Basis problem