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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Volume 294, Pages 152–166
DOI: https://doi.org/10.1134/S0371968516030092 (Mi tm3740) 		 
This article is cited in 11 scientific papers (total in 11 papers)

$\mathbb Q$-Fano threefolds of index $7$

Yuri G. Prokhorov

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Full-text PDF (276 kB) Citations (11)
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DOI: https://doi.org/10.1134/S0371968516030092
Abstract: We show that if the inequality $\dim\mathopen|-K_X|\ge15$ holds for a $\mathbb Q$-Fano threefold $X$ of Fano index $7$, then $X$ is isomorphic to one of the following varieties: $\mathbb P(1^2,2,3)$, $X_6\subset\mathbb P(1,2^2,3,5)$, or $X_6\subset\mathbb P(1,2,3^2,4)$.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: March 16, 2016
English version:
Proceedings of the Steklov Institute of Mathematics, 2016, Volume 294, Pages 139–153
DOI: https://doi.org/10.1134/S0081543816060092
Bibliographic databases:
Document Type: Article
UDC: 512.7
Language: Russian
Citation: Yuri G. Prokhorov, “$\mathbb Q$-Fano threefolds of index $7$”, Modern problems of mathematics, mechanics, and mathematical physics. II, Collected papers, Trudy Mat. Inst. Steklova, 294, MAIK Nauka/Interperiodica, Moscow, 2016, 152–166; Proc. Steklov Inst. Math., 294 (2016), 139–153
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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