Geodesic
$\Bbb Q$-Fano threefolds of large Fano index. I.
Documenta mathematica, Tome 15 (2010), pp. 843-872
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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).
DOI : 10.4171/dm/316
Classification : 14E30, 14J30, 14J45
Mots-clés : linear system, Q-Fano variety, sarkisov link 
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     author = {Yuri Prokhorov},
     title = {$\Bbb Q${-Fano} threefolds of large {Fano} index. {I.}},
     journal = {Documenta mathematica},
     pages = {843--872},
     year = {2010},
     volume = {15},
     doi = {10.4171/dm/316},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/316/}
}
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Yuri Prokhorov. $\Bbb Q$-Fano threefolds of large Fano index. I.. Documenta mathematica, Tome 15 (2010), pp. 843-872. doi: 10.4171/dm/316

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