Mathematical Sciences: Complex Hyperbolicity, Value Distribution Theory and its Relation with Diophantine Approximation

数学科学：复双曲性、值分布理论及其与丢番图近似的关系

• 批准号: 9506424
• 负责人: Min Ru
• 金额: --
• 依托单位: Harvard University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-07-01 至 1998-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9506424&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Complex; Hyperbolicity; Value

9506424 Ru The proposed research lies in the interface of number theory and several complex variables. It seeks to understand the somewhat mysterious relationship between Nevanlinna theory and diophantine geometry. In particular, the investigator proposes to give a single proof for the second main theorem in Nevanlinna theory and the Roth-Schmidt-Faltings theorem in diophantine geometry. Recently, formal analogies between certain areas of complex geometry and number theory have been observed. This is exciting in that on the face of it these are two totally unrelated areas of mathematics: number theory deals with integer equations whereas complex geometry deals with non-discrete objects.

小行星9506424 建议的研究在于数论和多复变量的接口。它旨在了解有点神秘的关系Nevanlinna理论和丢番图几何。特别地，研究者建议给出Nevanlinna理论中的第二主要定理和丢番图几何中的Roth-Schmidt-Faltings定理的单一证明。 最近，复几何和数论的某些领域之间的形式类比已经被观察到。这是令人兴奋的，因为从表面上看，这是两个完全不相关的数学领域：数论处理整数方程，而复几何处理非离散对象。