Geometry of rational double points

有理双点几何

• 批准号: 424829246
• 负责人: Professor Dr. Christian Liedtke
• 金额: --
• 依托单位: Lehr- und Forschungseinheit Algebra (M11)
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2019
• 资助国家: 德国
• 起止时间: 2018-12-31 至 2021-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/424829246?language=en
• 关键词: Geometry; rational; double; points

One of the most important classes of normal surface singularities are rational double points. Their deformations and resolutions over the complex numbers have been are now very well understood thanks to work of Brieskorn, Grothendieck, Slodowy, and Springer, who connected them to the theory of linear algebraic groups. However, over fields of positive characteristic, and especially if the characteristic is bad in the sense of Slodowy, the situation is still quite unclear. The goal of this project is to clarify this.

有理二重点是法向曲面奇点中最重要的一类。他们的变形和决议的复数已经是现在非常好地理解感谢工作的Brieskorn，Grothendieck，Slodowy，和施普林格，谁连接到理论的线性代数群。然而，在具有积极特征的领域，特别是在Slodowy意义上的特征不好的领域，情况仍然很不清楚。这个项目的目的就是要澄清这一点。