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This article is cited in 1 scientific paper (total in 1 paper)
Classification of degenerations and Picard lattices of Kählerian
K3 surfaces with symplectic automorphism group $D_6$
V. V. Nikulinab a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b Department of Mathematical Sciences, University of Liverpool, Liverpool, UK
Abstract:
In [1]–[6] we classified the degenerations and Picard lattices of Kählerian K3 surfaces with finite symplectic
automorphism groups
of high order. This classification was not considered for the remaining groups of small order
($D_6$, $C_4$, $(C_2)^2$, $C_3$, $C_2$ and $C_1$) because each of these cases requires very long and difficult
considerations and calculations.
Here we consider this classification for the dihedral group $D_6$ of order $6$.
Keywords:
K3 surface, degeneration, Picard lattice, automorphism group.
DOI:
https://doi.org/10.4213/im8868
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English version:
Izvestiya: Mathematics, 2019, 83:6, 1201–1233
Bibliographic databases:
UDC:
512.774.4+515.173.4+512.722+512.774.2+512.774.3+512.647.2
MSC: Primary 14J28; Secondary 14J50, 14J10, 14C22 Received: 11.11.2019
Citation:
V. V. Nikulin, “Classification of degenerations and Picard lattices of Kählerian
K3 surfaces with symplectic automorphism group $D_6$”, Izv. RAN. Ser. Mat., 83:6 (2019), 133–166; Izv. Math., 83:6 (2019), 1201–1233
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http://mi.mathnet.ru/eng/izv8868https://doi.org/10.4213/im8868 http://mi.mathnet.ru/eng/izv/v83/i6/p133
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:
-
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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