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Izv. RAN. Ser. Mat., 2017, Volume 81, Issue 5, Pages 105–149 (Mi izv8629)  
This article is cited in 3 scientific papers (total in 3 papers)

Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups. III

V. V. Nikulinab

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b Department of Mathematical Sciences, University of Liverpool, Liverpool, UK

Abstract: Following our papers [1] and [2] (Parts I and II), we classify degenerations of codimension 2 or more of Kählerian K3 surfaces with finite symplectic automorphism groups. In [1] and [2] this was done for codimension 1.

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.


DOI: https://doi.org/10.4213/im8629

Full text: PDF file (661 kB)
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English version:
Izvestiya: Mathematics, 2017, 81:5, 985–1029

Bibliographic databases:

ArXiv: 1608.04373
UDC: 512.774.4+512.774.2+512.542+512.647.4
PACS: 14J10, 14J28, 14J50
MSC: 14J10, 14J28, 14J50
Received: 18.11.2016

Citation: V. V. Nikulin, “Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups. III”, Izv. RAN. Ser. Mat., 81:5 (2017), 105–149; Izv. Math., 81:5 (2017), 985–1029

Citation in format AMSBIB
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  • https://doi.org/10.4213/im8629
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. V. Nikulin, “Classification of Picard lattices of K3 surfaces”, Izv. Math., 82:4 (2018), 752–816  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    2. V. V. Nikulin, “Classification of degenerations and Picard lattices of Kählerian K3 surfaces with symplectic automorphism group $D_6$”, Izv. Math., 83:6 (2019), 1201–1233  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    3. Viacheslav V. Nikulin, “Classification of Degenerations and Picard Lattices of Kählerian K3 Surfaces with Symplectic Automorphism Group $C_4$”, Proc. Steklov Inst. Math., 307 (2019), 130–161  mathnet  crossref  crossref  isi  elib
    		• Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya Izvestiya: Mathematics
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