Geometric Main Conjectures in Function Fields
Number Theory
2022-09-07 v1
Abstract
We prove an Equivariant Main Conjecture in Iwasawa Theory along any rank one, sign-normalized Drinfeld modular, split at infinity 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 Iwasawa tower.
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Cite
@article{arxiv.2209.02440,
title = {Geometric Main Conjectures in Function Fields},
author = {Werner Bley and Cristian D. Popescu},
journal= {arXiv preprint arXiv:2209.02440},
year = {2022}
}
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33 pages