Iwasawa invariants in residually reducible Hida families
Number Theory
2025-09-17 v2
Abstract
We study the variation of -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 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 .
Keywords
Cite
@article{arxiv.2401.14518,
title = {Iwasawa invariants in residually reducible Hida families},
author = {Robert Pollack and Preston Wake},
journal= {arXiv preprint arXiv:2401.14518},
year = {2025}
}