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Mathematics of the USSR-Izvestiya, 1977, Volume 11, Issue 5, Pages 957–989
DOI: https://doi.org/10.1070/IM1977v011n05ABEH001753 (Mi im1877) 		 
This article is cited in 119 scientific papers (total in 119 papers)

Degenerations of $K3$ surfaces and Enriques surfaces

Vik. S. Kulikov
English version PDF (1696 kB) Citations (119)
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DOI: https://doi.org/10.1070/IM1977v011n05ABEH001753
Abstract: In this paper we study good (semistable) degenerations of $K3$ surfaces ($m=1$) and Enriques surfaces ($m=2$). We obtain a classification of such degenerations under the condition that the $m$-canonical class is trivial. We show that for each good degeneration there exists a modification satisfying this condition.
Bibliography: 10 titles.
Received: 14.02.1977
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1977, Volume 41, Issue 5, Pages 1008–1042
Bibliographic databases:
Document Type: Article
UDC: 513.6
MSC: Primary 14J10, 14J15, 14J25; Secondary 14E05, 14E35, 32G30, 32J15
Language: English
Original paper language: Russian
Citation: Vik. S. Kulikov, “Degenerations of $K3$ surfaces and Enriques surfaces”, Izv. Akad. Nauk SSSR Ser. Mat., 41:5 (1977), 1008–1042; Math. USSR-Izv., 11:5 (1977), 957–989
Citation in format AMSBIB
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\by Vik.~S.~Kulikov
\paper Degenerations of $K3$ surfaces and Enriques surfaces
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1977
\vol 41
\issue 5
\pages 1008--1042
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\transl
\jour Math. USSR-Izv.
\yr 1977
\vol 11
\issue 5
\pages 957--989
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    Cycle of papers
    This publication is cited in the following 119 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:1177
    Russian version PDF:510
    English version PDF:84
    References:68
    First page:1
     
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