Boundedness of threefolds of Fano type with Mori fibration structures

Abstract

We show boundedness of $3$-folds of $\epsilon$-Fano type with Mori fibration structures. The proof is based on the birational boundedness result in our previous work arXiv:1509.08722 combining with arguments in Kawamata \cite{K} and Kollár--Miyaoka--Mori--Takagi \cite{KMMT}.

arXiv comment7 pages. Comments are welcome; v2: final version. arXiv admin note: text overlap with arXiv:1509.08722, arXiv:1411.6728