Mathematical Sciences: Nevanlinna Error Terms and p-Adic Analytic Curves

数学科学：Nevanlinna 误差项和 p-Adic 解析曲线

• 批准号: 9505041
• 负责人: William Cherry
• 金额: $ 6.02万
• 依托单位: Regents of the University of Michigan - Ann Arbor
• 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: 1995-06-01 至 1998-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9505041&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Nevanlinna; Error; Terms

9505041 Cherry The proposed research lies in the interface of number theory and several complex variables. The proposer wants to understand the relationship between Nevanlinna theory and diophantine geometry. In particular, he will study error terms in Nevanlinna theory and p-adic analogues of holomorphic curves. Recently, formal analogies between certain areas of complex geometry and number theory have been observed. This is unexpected in that these two areas are traditionally unrelated areas of mathematics: number theory deals with integer equations whereas complex geometry deals with non-discrete objects.

小行星9505041 建议的研究在于数论和多复变量的接口。提出者希望了解Nevanlinna理论与丢番图几何之间的关系。特别是，他将研究Nevanlinna理论中的误差项和全纯曲线的p-adic类似物。 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。这是出乎意料的，因为这两个领域是传统上不相关的数学领域：数论处理整数方程，而复杂几何处理非离散对象。