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This article is cited in 4 scientific papers (total in 4 papers)
Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups. II
V. V. Nikulin
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Abstract:
We prove the main conjecture (Conjecture 7.1) of the paper [1]. Using this result, we classify degenerations of codimension 1 of Kählerian K3 surfaces with finite symplectic automorphism groups.
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/im8455
 Full text:
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English version:
Izvestiya: Mathematics, 2016, 80:2, 359–402
Bibliographic databases:
     
UDC:
512.774.4+512.774.2+512.542+512.647.4
MSC: 14J10, 14J28, 14J50
Received: 10.10.2015
Citation:
V. V. Nikulin, “Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups. II”, Izv. RAN. Ser. Mat., 80:2 (2016), 81–124; Izv. Math., 80:2 (2016), 359–402
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http://mi.mathnet.ru/eng/izv8455https://doi.org/10.4213/im8455 http://mi.mathnet.ru/eng/izv/v80/i2/p81
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Cycle of papers
This publication is cited in the following articles:
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V. V. Nikulin, “Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups. III”, Izv. Math., 81:5 (2017), 985–1029
 -
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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