Dimension of the deformation space of ordinary representations in the cyclotomic limit

Fuente: arXiv
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Hauptverfasser: Burungale, Ashay A., Clozel, Laurent, Mazur, Barry
Format: Preprint
Veröffentlicht: 2024
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author Burungale, Ashay A.
Clozel, Laurent
Mazur, Barry
author_facet Burungale, Ashay A.
Clozel, Laurent
Mazur, Barry
contents The weight two ordinary deformations are unobstructed in the cyclotomic limit under certain assumptions. We show that such an ordinary deformation ring over the cyclotomic tower can have arbitrarily large dimension.
format Preprint
id arxiv_https___arxiv_org_abs_2406_02473
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Dimension of the deformation space of ordinary representations in the cyclotomic limit
Burungale, Ashay A.
Clozel, Laurent
Mazur, Barry
Number Theory
The weight two ordinary deformations are unobstructed in the cyclotomic limit under certain assumptions. We show that such an ordinary deformation ring over the cyclotomic tower can have arbitrarily large dimension.
title Dimension of the deformation space of ordinary representations in the cyclotomic limit
topic Number Theory
url https://arxiv.org/abs/2406.02473