On Weil Numbers in Cyclotomic Fields

Bruno Angles; Tatiana Beliaeva

On Weil Numbers in Cyclotomic Fields

数论 2007-05-23 v1

作者: Bruno Angles , Tatiana Beliaeva

摘要

In this note, we investigate the p-adic behavior of Weil numbers in the cyclotomic $\mathbb Z\_p$ -extension of $\mathbb Q(\zeta\_p).$ 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.

关键词

iwasawa theory weyl group representations

引用

@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}
}

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