Main conjectures for higher rank nearly ordinary families -- I

Kazim Büyükboduk; Tadashi Ochiai

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arXiv · 1708.04494

Main conjectures for higher rank nearly ordinary families -- I

Kazim Büyükboduk·Tadashi Ochiai

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Abstract

In this article, we present the first half of our project on the Iwasawa theory of higher rank Galois deformations over deformations rings of arbitrary dimension. We develop a theory of Coleman maps for a very general class of coefficient rings, devise a dimension reduction procedure for locally restricted Euler systems and finally, put these into use in order to prove a divisibility in a 3-variable main conjecture for nearly ordinary families of Rankin-Selberg convolutions.

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Kazim Büyükboduk, Tadashi Ochiai. 2017-08-15. Main conjectures for higher rank nearly ordinary families -- I. https://arxiv.org/abs/1708.04494

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