Mathematical Sciences: Projective Modules Over Affine Rings

数学科学：仿射环上的射影模

• 批准号: 8812320
• 负责人: Matam Murthy
• 金额: $ 8.11万
• 依托单位: University of Chicago
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-07-01 至 1991-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8812320&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Projective; Modules; Over

The principal investigator on this project will continue studying the structure of projective modules over affine algebras and their application to ideal theory of affine algebras. Specifically, cancellation properties of projective modules and the question of set-theoretic complete intersection for affine varieties will be investigated. The principal investigator will also consider embedding questions for affine varieties. This research is concerned with questions involving algebraic geometry and commutative algebra. This is a very active area of mathematics at present. The outcome could have a substantial impact on the directions in which this area is heading.

该项目的主要研究者将继续研究仿射代数射影模的结构及其在仿射代数理想理论中的应用。 具体来说，将研究射影模的抵消性质和仿射簇的集合论完全交集问题。主要研究者还将考虑嵌入仿射簇问题。 这项研究涉及涉及代数几何和交换代数的问题。这是目前数学中非常活跃的领域。结果可能对该领域的发展方向产生重大影响。