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Izvestiya: Mathematics, 2018, Volume 82, Issue 4, Pages 752–816
DOI: https://doi.org/10.1070/IM8719 (Mi im8719) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Classification of Picard lattices of K3 surfaces

V. V. Nikulinab

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b Department of Mathematical Sciences, University of Liverpool, Liverpool, UK
English version PDF (548 kB) Citations (5) Russian version article
References:
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DOI: https://doi.org/10.1070/IM8719
Abstract: Using the results of our papers [1]–[4] on the classification of degenerations of Kählerian K3 surfaces, we classify the Picard lattices of Kählerian K3 surfaces. By classification we mean classification depending on their possible finite symplectic automorphism groups and their non-singular rational curves when the Picard lattice is negative definite.
Keywords: K3 surface, complex surface, Picard lattice, automorphism group, rational curve, degeneration, integer 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: 15.09.2017
Bibliographic databases:
Document Type: Article
UDC: 512.774.4+515.173.4+512.722+512.774.2+512.774.3+512.647.2
MSC: 14J28, 14J10, 14C22, 14J50
Language: English
Original paper language: Russian
Citation: V. V. Nikulin, “Classification of Picard lattices of K3 surfaces”, Izv. Math., 82:4 (2018), 752–816
Citation in format AMSBIB
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\paper Classification of Picard lattices of K3 surfaces
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\pages 752--816
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  • https://doi.org/10.1070/IM8719
  • https://www.mathnet.ru/eng/im/v82/i4/p115
    • 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:421
    Russian version PDF:47
    English version PDF:16
    References:42
    First page:8
     
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