The Kahler-Ricci flow through singularities

• 成果类型: Article
• 署名作者: Song, Jian; Tian, Gang
• 署名单位: Rutgers University System; Rutgers University New Brunswick; Peking University; Princeton University
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-016-0674-4
• 发表日期: 2017
• 页码: 519-595
• 关键词: monge-ampere equations; scalar curvature; einstein metrics; minimal models; VARIETIES; EXISTENCE; SURFACES; CONVERGENCE; STABILITY

摘要

We prove the existence and uniqueness of the weak Kahler-Ricci flow on projective varieties with log terminal singularities. We also show that the weak Kahler-Ricci flow can be uniquely continued through divisorial contractions and flips if they exist. Finally we propose an analytic version of the minimal model program with Ricci flow.