## $\Bbb Q$-Fano threefolds of large Fano index. I.

### Summary

Summary: We study Q-Fano threefolds of large Fano index. In particular, we prove that the maximum possible Fano index is attained only by the weighted projective space $P(3,4,5,7)$.

### Mathematics Subject Classification

14J45, 14J30, 14E30

### Keywords/Phrases

Q-Fano variety, sarkisov link, linear system