Torische und tropische Methoden in der Algebraischen Geometrie

代数几何中的环面和热带方法

• 批准号: 227923852
• 负责人: Professor Dr. Klaus Altmann
• 金额: --
• 依托单位: Arbeitsgruppe Algebraische Geometrie
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2012
• 资助国家: 德国
• 起止时间: 2011-12-31 至 2016-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/227923852?language=en
• 关键词: Torische; und; tropische; Methoden; der

According to a suggestion of the DFG, this proposal gathers three positively evaluated projects of the former proposal FOR1743 for a DFG-research unit. The intention is to form a new, tighter, coherent program. The common frames of the projects are toric and tropical methods in algebraic geometry. The aim is to develop new methods and to apply them to the study of Mori dream spaces, quotients for algebraic group actions and Fano varieties. All three projects are under the simultaneous supervision of both PIs and the idea is to establish a continuous exchange and cooperation of the PhD students including research stays at the other work group.

根据DFG的建议，本提案收集了前提案FOR1743中三个积极评价的项目作为DFG研究单元。其目的是形成一个新的、更紧密的、连贯的项目。项目的共同框架是代数几何中的环面和热带方法。目的是开发新的方法，并将其应用于Mori梦空间、代数群动作商和Fano变体的研究。这三个项目都在两个pi的同时监督下，目的是建立博士生之间的持续交流与合作，包括在另一个工作组进行研究停留。

项目成果

Point configurations and translations

点配置和转换

• DOI: 10.1007/s00229-014-0692-8
• 发表时间: 2015
• 期刊: Manuscripta Mathematica
• 影响因子: 0.6
• 作者: Hendrik Bäker