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 |
|---|---|
| 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 | |
| Publication status | Published - 2018 |
| Externally published | Yes |
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