I. I. Pyatetskii-Shapiro, I. R. Shafarevich, “A Torelli theorem for algebraic surfaces of type $K3$”, Math. USSR-Izv., 5:3 (1971), 547

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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 148 scientific papers (total in 149 papers)

A Torelli theorem for algebraic surfaces of type $K3$

I. I. Pyatetskii-Shapiro, I. R. Shafarevich

English version PDF (2041 kB) Citations (149) 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{https://mathscinet.ams.org/mathscinet-getitem?mr=284440}

\zmath{https://zbmath.org/?q=an:0219.14021}

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https://doi.org/10.1070/IM1971v005n03ABEH001075

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This publication is cited in the following 149 articles:

Citing articles in Google Scholar: Russian citations, English citations
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Известия Академии наук СССР. Серия математическая

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Abstract page:	3224
Russian version PDF:	981
English version PDF:	185
References:	147
First page:	6

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