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Izvestiya: Mathematics, 2015, Volume 79, Issue 4, Pages 740–794
DOI: https://doi.org/10.1070/IM2015v079n04ABEH002760 (Mi im8276) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups

V. V. Nikulin

Steklov Mathematical Institute of Russian Academy of Sciences
English version PDF (481 kB) Citations (9) Russian version article
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DOI: https://doi.org/10.1070/IM2015v079n04ABEH002760
Abstract: Using the results of [1]–[3] on Kählerian K3 surfaces and Niemeier lattices, we classify degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups with emphasis on degenerations of codimension 1.
Keywords: K3 surface, Kählerian surface, automorphism group, degeneration, singularities, Picard lattice, integral quadratic 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: 26.01.2015
Revised: 13.02.2015
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”, Izv. Math., 79:4 (2015), 740–794
Citation in format AMSBIB
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\paper Degenerations of K\"ahlerian K3 surfaces with finite symplectic automorphism groups
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\yr 2015
\vol 79
\issue 4
\pages 740--794
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  • https://doi.org/10.1070/IM2015v079n04ABEH002760
  • https://www.mathnet.ru/eng/im/v79/i4/p103
    Cycle of papers
    This publication is cited in the following 9 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:581
    Russian version PDF:170
    English version PDF:12
    References:50
    First page:14
     
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