Mathematical Research Letters

Volume 26 (2019)

Number 5

Boundedness of threefolds of Fano type with Mori fibration structures

Pages: 1415 – 1435



Chen Jiang (Shanghai Center for Mathematical Sciences, Fudan University, Shanghai, China)


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 [14] combining with arguments in Kawamata [17] and Kollár–Miyaoka–Mori–Takagi [24].

The author was supported by Grant-in-Aid for JSPS Fellows (KAKENHI No. 25-6549).

Received 25 March 2016

Accepted 23 June 2019

Published 27 November 2019