Boundedness of canonical $\mathbf {Q}$-Fano 3-folds
Kollár, János ; Miyaoka, Yoichi ; Mori, Shigefumi ; Takagi, Hiromichi
Proc. Japan Acad. Ser. A Math. Sci., Tome 76 (2000) no. 10, p. 73-77 / Harvested from Project Euclid
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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.
Publié le : 2000-05-14
Classification:  $\mathbf {Q}$-Fano variety,  terminal singularity,  canonical singularity,  14J45,  14B05,  14J10 
@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/