DOCUMENTA MATHEMATICA, Vol. Extra Volume: John H. Coates' Sixtieth Birthday (2006), 465-532

Haruzo Hida

Anticyclotomic Main Conjectures

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

2000 Mathematics Subject Classification: 11F27, 11F30, 11F33, 11F41, 11F60, 11F80, 11G10, 11G15, 11G18, 11R23, 11R34, 11R42

Keywords and Phrases: Eisenstein series, Main conjecture, CM field, CM abelian variety, Shimura series, Basis problem

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