Kida's formula and congruences

Details Kida's formula and congruences Kida's formula and congruences

2005-08-30

arxiv.org/abs/math/0508608v1

Mathematics

Number Theory

Scientific paper

We 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.

Affiliated with

Also associated with

No associations

Rating

Kida's formula and congruences does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Kida's formula and congruences, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Kida's formula and congruences will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-21194