Abstract
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.
Citation
János Kollár. Yoichi Miyaoka. Shigefumi Mori. Hiromichi Takagi. "Boundedness of canonical $\mathbf {Q}$-Fano 3-folds." Proc. Japan Acad. Ser. A Math. Sci. 76 (5) 73 - 77, May 2000. https://doi.org/10.3792/pjaa.76.73
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