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Mathematics of the USSR-Izvestiya, 1990, Volume 35, Issue 3, Pages 657–675
DOI: https://doi.org/10.1070/IM1990v035n03ABEH000721 (Mi im1158) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Del Pezzo surfaces with log-terminal singularities. III

V. V. Nikulin
English version PDF (995 kB) Citations (11)
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DOI: https://doi.org/10.1070/IM1990v035n03ABEH000721
Abstract: Let $Z$ be a del Pezzo surface with log-terminal singularities and $\sigma\colon Y\to Z$ a minimal resolution of singularities. Then the Picard number of $Y$ satisfies $\rho(Y)<N(e)$, where $e$ is the maximal multiplicity of the singularities of $Z$ and $N$ a certain function of $e$.
Bibliography: 18 titles.
Received: 16.09.1988
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1989, Volume 53, Issue 6, Pages 1316–1334
Bibliographic databases:
Document Type: Article
UDC: 512.774
MSC: Primary 14J10, 14J26; Secondary 14J05, 14J17, 14J25, 14J28, 14E30, 51F15
Language: English
Original paper language: Russian
Citation: V. V. Nikulin, “Del Pezzo surfaces with log-terminal singularities. III”, Izv. Akad. Nauk SSSR Ser. Mat., 53:6 (1989), 1316–1334; Math. USSR-Izv., 35:3 (1990), 657–675
Citation in format AMSBIB
\Bibitem{Nik89}
\by V.~V.~Nikulin
\paper Del~Pezzo surfaces with log-terminal singularities.~III
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1989
\vol 53
\issue 6
\pages 1316--1334
\mathnet{http://mi.mathnet.ru/im1158}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1039966}
\zmath{https://zbmath.org/?q=an:0711.14018}
\transl
\jour Math. USSR-Izv.
\yr 1990
\vol 35
\issue 3
\pages 657--675
\crossref{https://doi.org/10.1070/IM1990v035n03ABEH000721}
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  • https://www.mathnet.ru/eng/im/v53/i6/p1316
    Cycle of papers
    This publication is cited in the following 11 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:330
    Russian version PDF:80
    English version PDF:6
    References:39
    First page:1
     
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