Mathematical Sciences: Complex Algebraic Geometry

数学科学：复代数几何

• 批准号: 8921702
• 负责人: Andrew Sommese
• 金额: $ 5.58万
• 依托单位: University of Notre Dame
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-06-15 至 1993-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8921702&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Complex; Algebraic; Geometry

This award supports the research in algebraic geometry of Professor Andrew Sommese of the University of Notre Dame. Dr. Sommese's project is to continue his research on hyperplane sections of complex projective manifolds and the projective classification of complex varieties. He will also continue his studies of the zero-dimensional subschemes of smooth complex projective varieties. This is research in the field of algebraic geometry, one of the oldest parts of modern mathematics, but one which has had a revolutionary flowering in the past quarter-century. In its origin, 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 from analysis and topology, and conversely is finding application in those fields as well as in physics, theoretical computer science, and robotics.

该奖项支持圣母大学的安德鲁·索梅斯教授在代数几何方面的研究。Sommese博士的项目是继续他对复射影流形的超平面截面和复变体的射影分类的研究。他还将继续研究光滑复射影变的零维子格式。这是代数几何领域的研究，是现代数学中最古老的部分之一，但在过去的四分之一个世纪里，它已经有了革命性的发展。在它的起源中，它处理的图形可以用最简单的方程，即多项式，在平面上定义。如今，该领域不仅使用代数的方法，还使用分析和拓扑的方法，相反，它在这些领域以及物理学、理论计算机科学和机器人技术中也得到了应用。