Abstract
We show that if on a compact Kähler threefold there is a solution of the Kähler-Ricci flow which has finite time collapsing, 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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 105-118 |
| Number of pages | 14 |
| Journal | Annali della Scuola Normale Superiore di Pisa - Classe di Scienze |
| Volume | 18 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2018 |
Funding
The first-named author is supported in part by NSF grant DMS-1308988 and by a Sloan Research Fellowship, and the second-named author by grant NSFC-11271015. The first-named author is supported in part by NSF grant DMS-1308988 and by a Sloan Research Fellowship, and the second-named author by grant NSFC-11271015. Received August 5, 2015; accepted in revised form October 4, 2016. Published online March 2018.
ASJC Scopus subject areas
- Theoretical Computer Science
- Mathematics (miscellaneous)