Iwasawa invariants in residually reducible Hida families

Pollack, Robert Jordan; Wake, Preston

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Iwasawa invariants in residually reducible Hida families

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Pollack, Robert Jordan
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.48550/arXiv.2401.14518
(Preprint)

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2401.14518.pdf
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Citation

Pollack, R. J., & Wake, P. (submitted). Iwasawa invariants in residually reducible Hida families.

Cite as: https://hdl.handle.net/21.11116/0000-000F-549A-5

Abstract

We study the variation of μ-invariants of modular forms in a cuspidal Hida family in the case that the family intersects an Eisenstein family. We allow for intersections that occur because of "trivial zeros" (that is, because p divides an Euler factor) as in Mazur's Eisenstein ideal paper, and pay special attention to the case of the 5-adic family passing through the elliptic curve X0(11).