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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)
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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
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1975, Volume 39, Issue 2, Pages 278–293
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”, Izv. Akad. Nauk SSSR Ser. Mat., 39:2 (1975), 278–293; Math. USSR-Izv., 9:2 (1975), 261–275
Citation in format AMSBIB
\Bibitem{Nik75}
\by V.~V.~Nikulin
\paper On Kummer surfaces
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1975
\vol 39
\issue 2
\pages 278--293
\mathnet{http://mi.mathnet.ru/im1831}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=429917}
\zmath{https://zbmath.org/?q=an:0312.14008}
\transl
\jour Math. USSR-Izv.
\yr 1975
\vol 9
\issue 2
\pages 261--275
\crossref{https://doi.org/10.1070/IM1975v009n02ABEH001477}
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    • 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
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    Abstract page:997
    Russian version PDF:450
    English version PDF:51
    References:71
    First page:1
     
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