代数体の類群, 単数の代数的解析的研究

代数域的类群、奇异数的代数分析研究

• 批准号: 62540027
• 负责人: 中越 矩方
• 金额: $ 0.58万
• 依托单位: University of Toyama
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (C)
• 财政年份: 1987
• 资助国家: 日本
• 起止时间: 1987 至 1988
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-62540027/
• 关键词: 代数体の類数; 代数体の単数

まずノルム形式で表わされる単数については, 正則クンマー拡大の場合にnの構造を明らかにすることができ, 非正則クンマー拡大の場合にも, 生成元がある種の条件を満たすとき同じような構造をもつことがわかった. これらの結果を, ハンブルグ大学の数学雑誌に発表する予定である.次に不分岐アーベル拡大の構成については, 円分体とそれと独立な2次体との合成体を, 2重2次体の単数を使って構成できるかどうかを考え, 全く簡単で初等的な判定法を与えることができた. 特に円分体それ自身の単数によって不分岐拡大を構成しようとするとき, ベルヌーイ数と円分体の部分体の次数との関係が明らかにされ, 興味深い結果が得られた. これらの内容をいま論文にまとめている.最後に今年度の科学研究費を使って, 他大学の教官に出張を依頼し, その研究発表, 討論の機会をもつことができて, 誠に有意義であった.

In the case of regular and irregular structures, the conditions for generating elements are the same. The result of this study is that the mathematical theory of the university has been established. The second order is not divided into two parts. The first order is composed of two parts. The second order is composed of two parts. The first order is composed of two parts. The second order is composed of two parts. The first order is composed of two parts. The second order is composed of two parts. The third order is composed of two parts. The fourth order is composed of two parts is composed of two parts. The fourth order is composed of two parts. The fourth order is composed of two parts is composed of two parts. The fourth order is composed In particular, the relationship between the number of parts of the body and the number of parts of the body is clear and interesting. The content of the paper is not easy. Finally, this year's scientific research expenses are paid, and his university instructors are responsible for Zhang's research, and the opportunities for discussion are meaningful.

项目成果

N,Nakagoshi: Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg. 58. (1988)

N，Nakagoshi：汉堡大学数学研讨会的 Abhandlungen。