Q-Fano Threefolds of Large Fano Index, I

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).

2010 Mathematics Subject Classification: 14J45, 14J30, 14E30.

Keywords and Phrases: Q-Fano variety, Sarkisov link, linear system

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