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Mathematics of the USSR-Izvestiya, 1985, Volume 24, Issue 2, Pages 221–244
DOI: https://doi.org/10.1070/IM1985v024n02ABEH001229 (Mi im1445) 		 
This article is cited in 34 scientific papers (total in 34 papers)

Toroidal Fano varieties and root systems

V. E. Voskresenskii, A. A. Klyachko
English version PDF (1460 kB) Citations (34) Russian version article
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DOI: https://doi.org/10.1070/IM1985v024n02ABEH001229
Abstract: In this paper it is shown that over an algebraically closed field there exist only finitely many mutually nonisomorphic toroidal Fano varieties. We give a complete description of toroidal Fano varieties with a centrally symmetric fan. We prove the rationality of a special class of toroidal Fano varieties and consider applications to problems of rationality of algebraic groups.
Bibliography: 17 titles.
Received: 01.10.1982
Revised: 08.02.1983
Bibliographic databases:
UDC: 512.7
MSC: Primary 14J40, 14L30; Secondary 14M20, 17B20
Language: English
Original paper language: Russian
Citation: V. E. Voskresenskii, A. A. Klyachko, “Toroidal Fano varieties and root systems”, Math. USSR-Izv., 24:2 (1985), 221–244
Citation in format AMSBIB
\Bibitem{VosKly84}
\by V.~E.~Voskresenskii, A.~A.~Klyachko
\paper Toroidal Fano varieties and root systems
\jour Math. USSR-Izv.
\yr 1985
\vol 24
\issue 2
\pages 221--244
\mathnet{http://mi.mathnet.ru//eng/im1445}
\crossref{https://doi.org/10.1070/IM1985v024n02ABEH001229}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=740791}
\zmath{https://zbmath.org/?q=an:0572.14029}
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    • This publication is cited in the following 34 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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