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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)
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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
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2016, Volume 80, Issue 2, Pages 81–124
DOI: https://doi.org/10.4213/im8455
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. RAN. Ser. Mat., 80:2 (2016), 81–124; Izv. Math., 80:2 (2016), 359–402
Citation in format AMSBIB
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    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:569
    Russian version PDF:158
    English version PDF:9
    References:59
    First page:27
     
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