The Kähler–Ricci flow through singularities

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• 作者：Jian Song ; Gang Tian
• 刊名：Inventiones mathematicae
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：207
• 期：2
• 页码：519-595
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics, general;
• 出版者：Springer Berlin Heidelberg
• ISSN：1432-1297
• 卷排序：207

文摘

We prove the existence and uniqueness of the weak Kähler–Ricci flow on projective varieties with log terminal singularities. We also show that the weak Kähler–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.