Enumerative geometry with quadratic forms

具有二次形式的枚举几何

• 批准号: 404436668
• 负责人: Professor Dr. Marc Levine
• 金额: --
• 依托单位: Forschungsgebiet Algebraische Geometrie und Arithmetik
• 依托单位国家: 德国
• 项目类别: Priority Programmes
• 财政年份: 2018
• 资助国家: 德国
• 起止时间: 2017-12-31 至 2021-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/404436668?language=en
• 关键词: Enumerative; geometry; quadratic; forms

The main goals of this project are to use motivic homotopy theory to develop methods suitable for the construction of a theory of enumerative geometry with values in quadratic forms, to apply these methods to key problems in enumerative geometry, and to use the resulting quadratic invariants to give a deeper understanding of the enumerative geometry of real varieties as well as the arithmetic aspects of enumerative problems over an arbitrary field.

该项目的主要目标是使用动机同伦理论来开发适合于构建具有二次型值的枚举几何理论的方法，将这些方法应用于枚举几何中的关键问题，并使用由此产生的二次不变量来更深入地理解真实的变种的枚举几何以及任意域上枚举问题的算术方面。