ℚ-Fano threefolds of index 7
- Authors: Prokhorov Y.G.1
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 294, No 1 (2016)
- Pages: 139-153
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/173931
- DOI: https://doi.org/10.1134/S0081543816060092
- ID: 173931
Cite item
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
Author for correspondence.
Email: prokhoro@mi.ras.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991
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