On the classical main conjecture for imaginary quadratic fields

Details On the classical main conjecture for imaginary quadratic fields On the classical main conjecture for imaginary quadratic fields

2011-03-06

arxiv.org/abs/1103.1125v4

Mathematics

Number Theory

15 pages

Scientific paper

Let p be a prime number which is split in an imaginary quadratic field k. Let \mathfrak{p} be a place of k above p. Let k_\infty be the unique Z_p-extension of k which unramified outside of \mathfrak{p}, and let K_\intfy be a finite extension of k_\infty, abelian over k. In case p \notin {2,3}, we prove that the characteristic ideal of the projective limit of global units modulo elliptic units coincides with the characteristic ideal of the projective limit of the p-class groups. Our approach uses Euler systems, which were first used in this context by K.Rubin. If p \in {2,3}, we obtain a divisibility relation, up to a certain constant.

Affiliated with

Also associated with

No associations

Rating

On the classical main conjecture for imaginary quadratic fields 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 On the classical main conjecture for imaginary quadratic fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the classical main conjecture for imaginary quadratic fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-418664