Categorical splitting theorems in algebraic geometry

代数几何中的分类分裂定理

• 批准号: DP0774133
• 负责人: Dr Peter O'Sullivan
• 金额: $ 15.72万
• 依托单位: The University of Sydney
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2007
• 资助国家: 澳大利亚
• 起止时间: 2007-01-17 至 2010-01-16
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP0774133
• 关键词: Categorical; splitting; theorems; algebraic; geometry

Algebraic geometry is the study of solutions of polynomial equations. It is one of the richest fields of Mathematics, and has led to advances in cryptography and other areas of technology. The project aims to apply in this field some recently developed abstract techniques in order to obtain results of a new type. It is also expected that the approach taken will help to simplify and unify the branches of algebraic geometry considered. Projects of a theoretical nature such as this one help to maintain Australia's high standing in the international scientific community.

代数几何是研究多项式方程的解的学科。 它是数学中最丰富的领域之一，并导致了密码学和其他技术领域的进步。该项目旨在将一些最近开发的抽象技术应用于这一领域，以获得新类型的结果。预计所采取的方法将有助于简化和统一 代数几何的分支考虑。一个理论上的项目 像这样的大自然有助于保持澳大利亚在世界上的崇高地位， 国际科学界。