Boundedness of canonical $\mathbf {Q}$-Fano 3-folds

János Kollár; Yoichi Miyaoka; Shigefumi Mori; Hiromichi Takagi

doi:10.3792/pjaa.76.73

Translator Disclaimer

May 2000 Boundedness of canonical $\mathbf {Q}$-Fano 3-folds

János Kollár, Yoichi Miyaoka, Shigefumi Mori, Hiromichi Takagi

Proc. Japan Acad. Ser. A Math. Sci. 76(5): 73-77 (May 2000). DOI: 10.3792/pjaa.76.73

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

Download 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