Accumulation of rational points and positivity

理性点和积极性的积累

• 批准号: 261900-2008
• 负责人: Roth, Michael
• 金额: $ 1.17万
• 依托单位: Queen's University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2010
• 资助国家: 加拿大
• 起止时间: 2010-01-01 至 2011-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=456161
• 关键词: Accumulation; rational; points; positivity

Algebraic geometry is a rich branch of mathematics which unifies algebra, topology, number theory, and differential geometry. It allows one to reformulate questions which seem to be about algebra or numbers into geometrical questions about shape, or vice versa. Its origins lie in the realization that finding solutions to algebraic equations or understanding the properties of the solutions is intimately tied to the intrinsic geometric nature of the algebraic varieties described by those equations.

代数几何是数学的一个丰富的分支，它统一了代数、拓扑学、数论和微分几何。 它允许一个重新制定的问题，似乎是关于代数或数字到几何问题的形状，反之亦然。它的起源在于认识到，寻找代数方程的解或理解解的性质与这些方程所描述的代数簇的内在几何性质密切相关。