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)|
|Number of pages||14|
|Journal||Annali della Scuola Normale Superiore di Pisa - Classe di Scienze|
|State||Published - 2018|
ASJC Scopus subject areas
- Theoretical Computer Science
- Mathematics (miscellaneous)