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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 139 scientific papers (total in 140 papers)

A Torelli theorem for algebraic surfaces of type $K3$

I. I. Pyatetskii-Shapiro, I. R. Shafarevich
References:
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
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1971, Volume 35, Issue 3, Pages 530–572
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 $K3$”, Izv. Akad. Nauk SSSR Ser. Mat., 35:3 (1971), 530–572; 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 Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1971
\vol 35
\issue 3
\pages 530--572
\mathnet{http://mi.mathnet.ru/im2021}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=284440}
\zmath{https://zbmath.org/?q=an:0219.14021}
\transl
\jour Math. USSR-Izv.
\yr 1971
\vol 5
\issue 3
\pages 547--588
\crossref{https://doi.org/10.1070/IM1971v005n03ABEH001075}
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  • https://doi.org/10.1070/IM1971v005n03ABEH001075
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  • This publication is cited in the following 140 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:2670
    Russian version PDF:926
    English version PDF:71
    References:84
    First page:6
     
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