English

On Weil Numbers in Cyclotomic Fields

Number Theory 2007-05-23 v1

Abstract

In this note, we investigate the p-adic behavior of Weil numbers in the cyclotomic Z_p\mathbb Z\_p-extension of Q(ζ_p).\mathbb Q(\zeta\_p). We determlne the characteristic ideal of the quotient of semi-local units by Weil numbers in terms of the characteristic ideals of some classical modules that appear in Iwasawa Theory.

Keywords

Cite

@article{arxiv.math/0606332,
  title  = {On Weil Numbers in Cyclotomic Fields},
  author = {Bruno Angles and Tatiana Beliaeva},
  journal= {arXiv preprint arXiv:math/0606332},
  year   = {2007}
}