On the vanishing of Iwasawa's constant $\mu$ for the cyclotomic ${\mathbb{Z}}_p$-extensions of $CM$ number fields

Abstract

We prove that $\mu =0$ for the cyclotomic ${\mathbb{Z}}_p$-extensions of CM number fields.

arXiv commentThis revised version of the proof of Iwasawa's Conjecture on the vanishing of mu for the cyclotomic ${\mathbb{Z}}_p$ extension of CM number fields follows the same proof ideea as the previous, but improves the details of proof of several important intermediate steps