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Izvestiya: Mathematics, 2013, Volume 77, Issue 5, Pages 954–997
DOI: https://doi.org/10.1070/IM2013v077n05ABEH002666 (Mi im8016) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Kählerian K3 surfaces and Niemeier lattices. I

V. V. Nikulinab

a Steklov Mathematical Institute of the Russian Academy of Sciences
b Department of Mathematical Sciences, University of Liverpool
English version PDF (522 kB) Citations (14)
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DOI: https://doi.org/10.1070/IM2013v077n05ABEH002666
Abstract: Using the results obtained in [1], Remark 1.14.7, we clarify the relation between Kählerian $\mathrm{K3}$ surfaces and Niemeier lattices. We emphasize that all 24 Niemeier lattices are important in the description of $\mathrm{K3}$ surfaces, not only the one related to the Mathieu group.
Keywords: $\mathrm{K3}$ surface, Kählerian surface, automorphism group, integer quadratic form.
Received: 25.06.2012
Revised: 26.11.2012
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2013, Volume 77, Issue 5, Pages 109–154
DOI: https://doi.org/10.4213/im8016
Bibliographic databases:
Document Type: Article
UDC: 512.774.4+512.774.2+512.542+512.647.2
PACS: 02.10.De, 02.40.Tt
MSC: 14J28, 11H56
Language: English
Original paper language: Russian
Citation: V. V. Nikulin, “Kählerian K3 surfaces and Niemeier lattices. I”, Izv. RAN. Ser. Mat., 77:5 (2013), 109–154; Izv. Math., 77:5 (2013), 954–997
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im/v77/i5/p109
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:187
    English version PDF:14
    References:42
    First page:7
     
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