Mathematical Sciences: Algebraic Geometry

数学科学：代数几何

• 批准号: 8711876
• 负责人: Joseph Harris
• 金额: $ 3.86万
• 依托单位: Brown University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-07-01 至 1988-05-01
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8711876&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Algebraic; Geometry

Joseph Harris works in algebraic geometry. More specifically he will work on problems connected with moduli spaces of curves, K3 surfaces, polarized varieties and n-tuples of points including their cohomology and line bundles. In addition he will address problems concerning limits of linear series and curves on general surfaces and three-folds. Finally he will look at problems concerning rational points on varieties of general type. Algebraic geometry is the study of the geometric objects arising from the sets of zeros of systems of polynomial equations. This is one of the oldest and currently one of the most active branches of mathematics with widespread applications through out mathematics and reaching into physics, computer science etc. Harris is one of the very best practitioners of this subject with his constant flow of very deep contributions. This proposal will undoubtedly lead to many more exciting results.

约瑟夫·哈里斯研究代数几何。 更 具体来说，他将致力于与模有关的问题 曲线空间、K3曲面、极化簇和n元组 包括它们的上同调和线丛。 在 此外，他将解决有关线性极限的问题， 一般曲面和三重曲面上的系列和曲线。 最后 他将研究关于簇上的合理点的问题， 一般类型。 代数几何是研究几何对象的科学 由多项式系统的零点集引起的 方程 这是一个最古老的，目前的一个 应用广泛的最活跃的数学分支 通过数学和物理，计算机 哈里斯是最好的实践者之一， 这个主题与他不断流动的非常深刻的贡献。 这一提议无疑将引发许多更令人兴奋的 结果