Mathematical Sciences: Relative Regulators and Divisor ClassGroups

数学科学：相对调节器和除数类组

• 批准号: 8906648
• 负责人: Eduardo Friedman
• 金额: --
• 依托单位: University of Pennsylvania
• 依托单位国家: 美国
• 项目类别: Continuing grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-07-01 至 1991-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8906648&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Relative; Regulators; Divisor

This award supports the research in Algebraic and Analytic Number Theory of Professor Eduardo Friedman of the University of Pennsylvania. Dr. Friedman's project involves using analytic methods to investigate the behavior of the ratio of the regulators in an extension of number fields. Also, in the related geometric situation, the function field case, Professor Friedman will be examining the distribution of divisor class groups of curves over a function field. The subject of Analytic Number Theory applies to the discrete realm of the whole numbers the techniques of Analysis, dependent on the notions of continuity and limit, originating in Calculus. The idea of using continuous methods to investigate the discrete is two centuries old, but with the work of the modern analytic number theorists such as Professor Friedman, the field has had a new rebirth.

该奖项支持在代数和分析的研究 哈佛大学教授Eduardo Friedman的数论 宾夕法尼亚弗里德曼博士的项目包括使用分析 方法来研究的行为的比率， 在数域的扩展中的调节器。此外，在相关的 几何情境，函数场的情形，弗里德曼教授 将检查除数类组的分布， 函数域上的曲线。 解析数论的主题适用于 整数的离散领域分析技术， 依赖于连续性和极限的概念，起源于 微积分。使用连续方法来研究 离散是两个世纪的历史，但与现代的工作， 分析数论学家，如弗里德曼教授， 有了新的重生