Mathematical Sciences: Algebraic Cycles on Varieties

数学科学：簇上的代数循环

• 批准号: 9103728
• 负责人: Wayne Raskind
• 金额: $ 3.47万
• 依托单位: University of Arizona
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-06-15 至 1993-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9103728&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Algebraic; Cycles; Varieties

This project is concerned with the higher Chow groups of algebraic varieties over various fields. The principal investigator will study the kernel of the Albanese map for a smooth, projective surface over various fields. He will also consider the question of computing the torsion subgroup of CH2(X) when this is known to be finite. This is research in the field of algebraic geometry, one of the oldest parts of modern mathematics. In its origins, it treated figures that could be defined in the plane by the simplest equations, namely polynomials. Nowadays, the field makes use of methods not only from algebra, but analysis and topology. It is finding application in those fields as well as in theoretical computer science and robotics.

这个项目是关于更高的周族群体， 不同领域的代数簇。 校长 调查人员将研究阿尔巴尼亚地图的核心， 在不同领域的光滑的、投影的表面。 他还将 考虑计算CH 2（X）的挠子群的问题 当它是有限的时候。 这是代数几何领域的研究， 现代数学中最古老的部分 在其起源中，它 处理的图形，可以定义在平面上的 最简单的方程，即多项式。 目前，该领域 不仅使用代数方法，而且使用分析方法， topology. 它正在这些领域中得到应用， 理论计算机科学和机器人技术。