Topological and analytic aspects of the Kaehler-Ricci flow

Kaehler-Ricci 流的拓扑和分析方面

• 批准号: DP110102654
• 负责人: A/Prof Zhou Zhang
• 金额: $ 4.76万
• 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: 2011
• 资助国家: 澳大利亚
• 起止时间: 2011-07-28 至 2014-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP110102654
• 关键词: Topological; analytic; aspects; Kaehler; Ricci

The project will make use of the Kaehler-Ricci flow in an original way to study algebraic geometry objects. It involves techniques from geometric analysis, algebraic geometry and several complex variables and is a powerful method to construct and analyse canonical singular metric, which is then applied for further understanding of the algebraic variety.

该项目将利用Kaehler-Ricci流以原始的方式研究代数几何对象。它涉及几何分析、代数几何和多复变的技巧，是构造和分析正则奇异度量的有力方法，进而应用于代数簇的进一步理解。