Mathematical Sciences: Geometric Applications of Exterior Differential Systems

数学科学：外微分系统的几何应用

• 批准号: 9303704
• 负责人: Joseph Landsberg
• 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: 1993
• 资助国家: 美国
• 起止时间: 1993-07-01 至 1996-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9303704&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Geometric; Applications; Exterior

The research entails questions concerning the properties of subvarieties of projective space using the geometry of exterior differential systems and partial differential equations. These methods may be instrumental in obtaining progress on some important questions and conjectures in algebraic geometry. The research also entails developing certain geometric features of certain algorithmic systems. The overall approach to these questions are likely to have extensions to other branches of pure and applied mathematics.

该研究涉及使用外微分系统和偏微分方程的几何形状的射影空间子类型的性质问题。 这些方法可能有助于在代数几何中的一些重要问题和猜想上取得进展。 该研究还需要开发某些算法系统的某些几何特征。 解决这些问题的总体方法可能会扩展到纯数学和应用数学的其他分支。