On stronger versions of brumer’s conjecture

研究成果: Article査読

3 被引用数 (Scopus)

抄録

Let k be a totally real number field and L a CM-field such that L/k is finite and abelian. In this paper, we study a stronger version of Brumer’s conjecture that the Stickelberger element times the annihilator of the group of roots of unity in L is in the Fitting ideal of the ideal class group of L, and also study the dual version. We mainly study the Teichmüller character component, and determine the Fitting ideal in a certain case. We will see that these stronger versions hold in a certain case. It is known that the stronger version (SB) does not hold in general. We will prove in this paper that the dual version (DSB) does not hold in general, either.

本文言語English
ページ(範囲)407-428
ページ数22
ジャーナルTokyo Journal of Mathematics
34
2
DOI
出版ステータスPublished - 2017

ASJC Scopus subject areas

  • 数学 (全般)

フィンガープリント

「On stronger versions of brumer’s conjecture」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル