We give an effective bound of the Gorenstein index of weak
$\mathbf{Q}$-Fano 3-folds, and prove the boundedness of the
terminal $\mathbf{Q}$-Fano 3-folds. Combined with [Bor99],
this result implies furthermore the boundedness of the canonical
$\mathbf{Q}$-Fano 3-folds.
@article{1148393517,
author = {Koll\'ar, J\'anos and Miyaoka, Yoichi and Mori, Shigefumi and Takagi, Hiromichi},
title = {Boundedness of canonical $\mathbf {Q}$-Fano 3-folds},
journal = {Proc. Japan Acad. Ser. A Math. Sci.},
volume = {76},
number = {10},
year = {2000},
pages = { 73-77},
language = {en},
url = {http://dml.mathdoc.fr/item/1148393517}
}
Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi; Takagi, Hiromichi. Boundedness of canonical $\mathbf {Q}$-Fano 3-folds. Proc. Japan Acad. Ser. A Math. Sci., Tome 76 (2000) no. 10, pp. 73-77. http://gdmltest.u-ga.fr/item/1148393517/