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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:
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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
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Linking options:
http://mi.mathnet.ru/eng/izv8629https://doi.org/10.4213/im8629 http://mi.mathnet.ru/eng/izv/v81/i5/p105
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:
-
V. V. Nikulin, “Classification of Picard lattices of K3 surfaces”, Izv. Math., 82:4 (2018), 752–816
-
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
-
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
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