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，该提案汇集了 DFG 研究单位的前提案 FOR1743 中获得积极评价的三个项目。目的是形成一个新的、更严格、连贯的计划。这些项目的共同框架是代数几何中的环面和热带方法。目的是开发新方法并将其应用于 Mori 梦空间、代数群行为商和 Fano 簇的研究。所有三个项目都在两位 PI 的同时监督下，其想法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。

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