Desingularization and applications. Analysis on and Geometry of singular spaces

去奇异化和应用。

• 批准号: RGPIN-2018-04445
• 负责人: Milman, Pierre
• 金额: $ 1.46万
• 依托单位: University of Toronto
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2021
• 资助国家: 加拿大
• 起止时间: 2021-01-01 至 2022-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=735741
• 关键词: Desingularization; applications.; Analysis; Geometry; singular

Classification of Geometric Minimal Models; Computing Ideals Desingularizing by blow up in one step; Desingularization of cotangent bundles; Differential Analysis: extension algorithms etc.; Euclidean division in several variables versus Nash blow ups; Finite differences in several variables; Gagliardo-Nirenberg inequalities on Singular Spaces; Minimal Singularities via Desingularization and; Quasianalytic geometry and differential analysis; same versus Geometric Minimal Models

几何最小模型的分类；计算理想一步爆破去奇异化；余切丛的去奇异化；差异分析：扩展算法等；几个变量的欧几里得除法与纳什爆炸；多个变量的有限差异；奇异空间上的 Gagliardo-Nirenberg 不等式；通过去奇异化最小化奇异性；准解析几何和微分分析；与几何最小模型相同