Mathematical Sciences: Abelian Varieties of Low Dimension, Prym Varieties and Fano Threefolds

数学科学：低维阿贝尔簇、Prym 簇和法诺三重簇

• 批准号: 9204266
• 负责人: Elham Izadi
• 金额: $ 3.45万
• 依托单位: Harvard University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-07-15 至 1994-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9204266&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Abelian; Varieties; Low

This award supports the research of Professor E. Izadi to work in algebraic geometry. She will work on low dimension principally polarized varieties and their moduli spaces using techniques involving theta divisors. Problems to be studied include questions on cycles in Abelian varieties in dimension 4 with rank greater than one. The research is in the field of algebraic geometry, one of the oldest parts of modern mathematics, but one which blossomed to the point where it has, in the past 10 years, solved problems that have stood for centuries. Originally, it treated figures defined in the plane by the simplest of equations, namely polynomials. Today, the field uses methods not only from algebra, but also from analysis and topology, and conversely it is extensively used in those fields. Moreover, it has proved itself useful in fields as diverse as physics, theoretical computer science, cryptography, coding theory and robotics.

该奖项支持了E教授的研究。伊扎迪托 研究代数几何。 她将致力于低维 主要极化品种和他们的模空间使用 涉及θ因子的技术。 问题需要研究 包括关于维度4中阿贝尔簇中的循环的问题 等级大于1。 这项研究是在代数几何领域，其中一个 现代数学中最古老的部分，但其中一个 在过去的10年里， 已经屹立了几个世纪 最初，它把数字 在平面上由最简单的方程定义，即 多项式 今天，该领域使用的方法不仅来自 代数，但也从分析和拓扑学，反过来说，它 广泛应用于这些领域。 此外，它还证明， 它本身在物理学、理论、 计算机科学、密码学、编码理论和机器人技术。