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Izvestiya: Mathematics, 2016, Volume 80, Issue 2, Pages 359–402
DOI: https://doi.org/10.1070/IM8455 (Mi im8455) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups. II

V. V. Nikulin

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
English version PDF (462 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/IM8455
Abstract: We prove the main conjecture (Conjecture 7.1) of the paper [1]. Using this result, we classify degenerations of codimension 1 of Kählerian K3 surfaces with finite symplectic automorphism groups.
Keywords: K3 surface, Kählerian surface, automorphism group, degeneration, singularities, Picard lattice, integral symmetric bilinear form.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: 10.10.2015
Bibliographic databases:
Document Type: Article
UDC: 512.774.4+512.774.2+512.542+512.647.4
MSC: 14J10, 14J28, 14J50
Language: English
Original paper language: Russian
Citation: V. V. Nikulin, “Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups. II”, Izv. Math., 80:2 (2016), 359–402
Citation in format AMSBIB
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\by V.~V.~Nikulin
\paper Degenerations of K\"ahlerian K3 surfaces with finite symplectic automorphism groups. II
\jour Izv. Math.
\yr 2016
\vol 80
\issue 2
\pages 359--402
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  • https://doi.org/10.1070/IM8455
  • https://www.mathnet.ru/eng/im/v80/i2/p81
    Cycle of papers
    This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:582
    Russian version PDF:162
    English version PDF:11
    References:62
    First page:27
     
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