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

Yuri Prokhorov

doi:10.4171/dm/316

JournalsdmVol. 15pp. 843–872

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

Yuri Prokhorov
Department of Algebra Faculty of Mathematics Moscow State University Moscow 117234 Russia

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

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Abstract

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 $P(3,4,5,7)$ .

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Yuri Prokhorov, $\Bbb Q$ -Fano threefolds of large Fano index. I.. Doc. Math. 15 (2010), pp. 843–872

DOI 10.4171/DM/316