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This article is cited in 5 scientific papers (total in 5 papers)
Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups
V. V. Nikulin
Steklov Mathematical Institute of Russian Academy of Sciences
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. |
DOI:
https://doi.org/10.4213/im8276
 Full text:
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English version:
Izvestiya: Mathematics, 2015, 79:4, 740–794
Bibliographic databases:
     
UDC:
512.774.4+512.774.2+512.542+512.647.4
MSC: 14J10, 14J28, 14J50
Received: 26.01.2015
Revised: 13.02.2015
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
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http://mi.mathnet.ru/eng/izv8276https://doi.org/10.4213/im8276 http://mi.mathnet.ru/eng/izv/v79/i4/p103
Citing articles on Google Scholar:
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English citations
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Cycle of papers
This publication is cited in the following articles:
-
V. V. Nikulin, “Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups. II”, Izv. Math., 80:2 (2016), 359–402
 -
Vik. S. Kulikov, “Plane rational quartics and K3 surfaces”, Proc. Steklov Inst. Math., 294 (2016), 95–128
-
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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