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Mathematics of the USSR-Izvestiya, 1989, Volume 33, Issue 3, Pages 613–629
DOI: https://doi.org/10.1070/IM1989v033n03ABEH000859 (Mi im1231) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Fractional indices of log Del Pezzo surfaces

V. A. Alexeev
English version PDF (956 kB) Citations (13)
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DOI: https://doi.org/10.1070/IM1989v033n03ABEH000859
Abstract: The fractional index of a (possibly singular) $Q$-Gorenstein del Pezzo surface $X$ is the greatest rational number $r$ such that $-K_X\equiv rH$, where $H$ is a primitive Cartier divisor. This paper describes the set of values taken by fractional indices of del Pezzo surfaces with log terminal singularities.
Bibliography: 7 titles.
Received: 15.03.1988
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1988, Volume 52, Issue 6, Pages 1288–1304
Bibliographic databases:
UDC: 512.774
MSC: Primary 14J26; Secondary 14J05, 14J17, 14J25, 14E30, 51F15
Language: English
Original paper language: Russian
Citation: V. A. Alexeev, “Fractional indices of log Del Pezzo surfaces”, Izv. Akad. Nauk SSSR Ser. Mat., 52:6 (1988), 1288–1304; Math. USSR-Izv., 33:3 (1989), 613–629
Citation in format AMSBIB
\Bibitem{Ale88}
\by V.~A.~Alexeev
\paper Fractional indices of log Del Pezzo surfaces
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1988
\vol 52
\issue 6
\pages 1288--1304
\mathnet{http://mi.mathnet.ru/im1231}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=984220}
\zmath{https://zbmath.org/?q=an:0724.14023}
\transl
\jour Math. USSR-Izv.
\yr 1989
\vol 33
\issue 3
\pages 613--629
\crossref{https://doi.org/10.1070/IM1989v033n03ABEH000859}
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  • https://www.mathnet.ru/eng/im/v52/i6/p1288
    Erratum
    This publication is cited in the following 13 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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    Abstract page:404
    Russian version PDF:116
    English version PDF:23
    References:49
    First page:1
     
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