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arXiv · 2401.14518

Iwasawa invariants in residually reducible Hida families

Robert Pollack·Preston Wake
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Abstract

We study the variation of $\mu$-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 $X_0(11)$.

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Robert Pollack, Preston Wake. 2024-01-25. Iwasawa invariants in residually reducible Hida families. https://doi.org/10.2140/tunis.2025.7.755

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