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Geometric main conjectures in function fields

Geometric main conjectures in function fields

Abstract We prove an equivariant main conjecture in Iwasawa theory along any rank-one, sign-normalized Drinfeld modular, split-at-∞ Iwasawa tower of a general function field of characteristic 𝑝, for the Iwasawa modules recently considered by Greither and Popescu in their proof of the classical equivariant main conjecture along the (arithmetic) cyclotomic …