Mathematical Sciences: Characteristic Cycles of Schubert Varieties and Other Singular Spaces

数学科学：舒伯特簇和其他奇异空间的特征循环

• 批准号: 9404366
• 负责人: Joseph H. Fu
• 金额: $ 4.25万
• 依托单位: University of Georgia Research Foundation Inc
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-07-01 至 1997-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9404366&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Characteristic; Cycles; Schubert

9404366 Fu The scope of research is concerned with the methods of characteristic cycles to analyse the geometric structures of classes of singular spaces. The techniques arise from complex geometry and representation theory. Another component of the research involves curvature measures of singular metrics in Riemannian geometry. The research has potential applications to other branches of mathematics including algebraic geometry, number theory and may have applications to mathematical physics. ***

小行星9404366 研究的范围是关于特征环的方法来分析类奇异空间的几何结构。这些技术来自复杂几何和表示理论。研究的另一个组成部分涉及黎曼几何中奇异度量的曲率度量。该研究对数学的其他分支有潜在的应用，包括代数几何，数论，并可能应用于数学物理。 ***