Kähler-Ricci流在三层上的有限时间坍缩

IF 1.2 2区数学 Q1 MATHEMATICS

Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze Pub Date : 2015-07-30 DOI:10.2422/2036-2145.201508_003

Valentino Tosatti, Yuguang Zhang

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引用次数: 20

摘要

我们证明了如果在紧化的Kahler三次流上存在一个遇到有限时间坍缩奇点的Kahler- ricci流解，那么流形就允许Fano振动。进一步，如果存在有限时间消光，则流形为Fano，初始类为第一个陈氏类的正倍数。

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Finite time collapsing of the Kähler-Ricci flow on threefolds

We show that if on a compact Kahler threefold there is a solution of the Kahler-Ricci flow which encounters a finite time collapsing singularity, then the manifold admits a Fano fibration. Furthermore, if there is finite time extinction then the manifold is Fano and the initial class is a positive multiple of the first Chern class.

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来源期刊

Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Annals of the Normale Superiore di Pisa, Science Class, publishes papers that contribute to the development of Mathematics both from the theoretical and the applied point of view. Research papers or papers of expository type are considered for publication. The Annals of the Normale Scuola di Pisa - Science Class is published quarterly Soft cover, 17x24