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Iwasawa invariants in
residually reducible Hida families
Robert Pollack and Preston Wake |
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Vol. 7 (2025), No. 3-4, 755–790
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Abstract |
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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 -adic family passing through the elliptic curve . |
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In memory of Joël Bellaïche |
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Keywords
Iwasawa theory, congruences of modular forms, Iwasawa
invariants, Eisenstein congruences
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Mathematical Subject Classification
Primary: 11F33, 11R23
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Milestones
Received: 24 January 2024
Revised: 23 September 2024
Accepted: 10 October 2024
Published: 12 September 2025
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Authors |
| Robert Pollack | |
| Department of Mathematics University of Arizona Tucson, AZ United States |
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| Preston Wake | |
| Department of Mathematics Michigan State University East Lansing, MI United States |
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| © 2025 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). |
