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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)
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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
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2015, Volume 79, Issue 4, Pages 103–158
DOI: https://doi.org/10.4213/im8276
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. RAN. Ser. Mat., 79:4 (2015), 103–158; Izv. Math., 79:4 (2015), 740–794
Citation in format AMSBIB
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  • 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
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:164
    English version PDF:7
    References:41
    First page:14
     
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