ℚ-Fano threefolds of index 7


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Abstract

We show that if the inequality dim|−KX| ≥ 15 holds for a ℚ-Fano threefold X of Fano index 7, then X is isomorphic to one of the following varieties: ℙ(12, 2, 3), X6 ⊂ ℙ(1, 22, 3, 5), or X6 ⊂ ℙ(1, 2, 32, 4).

About the authors

Yuri G. Prokhorov

Steklov Mathematical Institute of Russian Academy of Sciences

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Email: prokhoro@mi.ras.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991

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