Del Pezzo orbifold surfaces and toric degenerations

Del Pezzo 眼睑表面和复曲面变性

• 批准号: 1789814
• 金额: --
• 依托单位: University of Warwick
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2016
• 资助国家: 英国
• 起止时间: 2016 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-1789814
• 关键词: Del; Pezzo; orbifold; surfaces; toric

Edwin Kutas has studied the possible toric degenerations of del Pezzo surface's with orbifold points. He has, with Daniel Cavey (Nottingham PhD student), produced an algorithm to categorise all toric degenerations of del Pezzo surfaces with given singularity content. In addition to this, calculations have been done to prove that various classes of singularity contents cannot occur as a toric degenerations. This problem fits in closely with the EPSRC program grant 3C in G, and leads to natural follow-up questions and further classifications relating to toric degenerations.

Edwin Kutas研究了Del Pezzo曲面的可能环退化。他和Daniel Cavey(诺丁汉大学博士生)一起提出了一种算法，用来对具有给定奇点含量的del Pezzo曲面的所有环形退化进行分类。此外，还进行了计算，证明了各类奇点内容不可能以环状简并的形式出现。这个问题与EPSRC计划授予G中的3C密切相关，并导致自然的后续问题和与环状退变有关的进一步分类。