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

Ashay A. Burungale; Laurent Clozel; Barry Mazur

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arXiv · 2406.02473

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

Ashay A. Burungale·Laurent Clozel·Barry Mazur

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Abstract

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.

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Ashay A. Burungale, Laurent Clozel, Barry Mazur. 2024-06-04. Dimension of the deformation space of ordinary representations in the cyclotomic limit. https://arxiv.org/abs/2406.02473

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