Mathematical Sciences: Diophantine Approximations of Algebraic Points

数学科学：代数点的丢番图近似

• 批准号: 9304899
• 负责人: Paul Vojta
• 金额: $ 7.5万
• 依托单位: University of California-Berkeley
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-07-01 至 1997-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9304899&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Diophantine; Approximations; Algebraic

Professor Vojta will work in arithmetic geometry specifically finiteness statements for rational and integral points on varieties. In particular he wants to continue to explore insights into the analogies between diophantine approximations and Nevanlinna theory. This project falls into the general area of arithmetic geometry -a subject that blends two of the oldest areas of mathematics: number theory and geometry. This combination has proved extraordinarily fruitful - having recently solved problems that withstood generations. Among its many consequences are new error correcting codes. Such codes are essential for both modern computers (hard disks) and compact disks.

Vojta教授将从事算术几何方面的工作 特别是有理数和积分的有限性陈述 品种上的点。特别是他希望继续 探究丢番图与 近似和Nevanlinna理论。 这个项目福尔斯属于算术的一般范畴 几何学-一个融合了两个最古老的领域的主题， 数学：数论和几何。 这种组合有 被证明是非常富有成效的-最近解决了一些问题 经受住了几代人的考验 在其众多后果中， 纠错码 这些准则对现代和 计算机（硬盘）和光盘。