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Mathematics of the USSR-Izvestiya, 1975, Volume 9, Issue 2, Pages 261–275
DOI: https://doi.org/10.1070/IM1975v009n02ABEH001477 (Mi im1831) 		 
This article is cited in 51 scientific papers (total in 51 papers)

On Kummer surfaces

V. V. Nikulin
English version PDF (645 kB) Citations (51) Russian version article
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DOI: https://doi.org/10.1070/IM1975v009n02ABEH001477
Abstract: In this paper we show that a Kähler $K3$ surface containing 16 nonsingular rational curves which do not intersect one another is a Kummer surface. We also give a direct proof of the global Torelli theorem for Kummer surfaces and develop a criterion for a surface to be Kummer which refines the criterion in the paper "A Torelli theorem for algebraic $K3$ surfaces" by I. I. Pyatetskii-Shapiro and I. R. Shafarevich.
Bibliography: 8 items.
Received: 26.04.1974
Bibliographic databases:
Document Type: Article
UDC: 513.6
MSC: Primary 14J10; Secondary 14J25
Language: English
Original paper language: Russian
Citation: V. V. Nikulin, “On Kummer surfaces”, Math. USSR-Izv., 9:2 (1975), 261–275
Citation in format AMSBIB
\Bibitem{Nik75}
\by V.~V.~Nikulin
\paper On Kummer surfaces
\jour Math. USSR-Izv.
\yr 1975
\vol 9
\issue 2
\pages 261--275
\mathnet{http://mi.mathnet.ru//eng/im1831}
\crossref{https://doi.org/10.1070/IM1975v009n02ABEH001477}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=429917}
\zmath{https://zbmath.org/?q=an:0312.14008}
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  • https://www.mathnet.ru/eng/im/v39/i2/p278
    • This publication is cited in the following 51 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:1025
    Russian version PDF:452
    English version PDF:60
    References:78
    First page:1
     
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