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Mathematics of the USSR-Izvestiya, 1971, Volume 5, Issue 3, Pages 547–588
DOI: https://doi.org/10.1070/IM1971v005n03ABEH001075 (Mi im2021) 		 
This article is cited in 143 scientific papers (total in 144 papers)

A Torelli theorem for algebraic surfaces of type K3

I. I. Pyatetskii-Shapiro, I. R. Shafarevich
English version PDF (2041 kB) Citations (144) Russian version article
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DOI: https://doi.org/10.1070/IM1971v005n03ABEH001075
Abstract: In this paper it is proved that an algebraic surface of type K3 is uniquely determined by prescribing the integrals of its holomorphic differential forms with respect to a basis of cycles of the two-dimensional homology group, if the homology class of a hyperplane section is distinguished.
Received: 26.01.1970
Bibliographic databases:
Document Type: Article
UDC: 513.6
MSC: Primary 14C30, 14D20, 14J10; Secondary 10B10, 14G99
Language: English
Original paper language: Russian
Citation: I. I. Pyatetskii-Shapiro, I. R. Shafarevich, “A Torelli theorem for algebraic surfaces of type K3”, Math. USSR-Izv., 5:3 (1971), 547–588
Citation in format AMSBIB
\Bibitem{PyaSha71}
\by I.~I.~Pyatetskii-Shapiro, I.~R.~Shafarevich
\paper A~Torelli theorem for algebraic surfaces of type~$K3$
\jour Math. USSR-Izv.
\yr 1971
\vol 5
\issue 3
\pages 547--588
\mathnet{http://mi.mathnet.ru/eng/im2021}
\crossref{https://doi.org/10.1070/IM1971v005n03ABEH001075}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=284440}
\zmath{https://zbmath.org/?q=an:0219.14021}
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    • This publication is cited in the following 144 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:2904
    Russian version PDF:951
    English version PDF:132
    References:125
    First page:6
     
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