Kida's formula and congruences

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dc.creatorPollack, Robert
dc.creatorWeston, Tom
dc.date2005-08-30
dc.date.accessioned2026-07-07T05:22:47Z
dc.date.available2026-07-07T05:22:47Z
dc.descriptionWe prove a formula (analogous to that of Kida in classical Iwasawa theory and generalizing that of Hachimori-Matsuno for elliptic curves) giving the analytic and algebraic p-adic Iwasawa invariants of a modular eigenform over an abelian p-extension of Q to its p-adic Iwasawa invariants over Q. On the algebraic side our methods, which make use of congruences between modular forms, yield a Kida-type formula for a very general class of ordinary Galois representations. We are further able to deduce a Kida-type formula for elliptic curves at supersingular primes.
dc.identifierhttps://arxiv.org/abs/math/0508608
dc.identifierhttp://arxiv.org/abs/math/0508608
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76196
dc.subjectNumber Theory
dc.subject11R23,11F33,11F80
dc.titleKida's formula and congruences
dc.typetext

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