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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.14518 |
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| _version_ | 1866914039295115264 |
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| author | Pollack, Robert Wake, Preston |
| author_facet | Pollack, Robert Wake, Preston |
| contents | 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 $X_0(11)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_14518 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Iwasawa invariants in residually reducible Hida families Pollack, Robert Wake, Preston Number Theory 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 $X_0(11)$. |
| title | Iwasawa invariants in residually reducible Hida families |
| topic | Number Theory |
| url | https://arxiv.org/abs/2401.14518 |