V. V. Nikulin, “Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups. III”, Izv. Math., 81:5 (2017), 985

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Izvestiya: Mathematics, 2017, Volume 81, Issue 5, Pages 985–1029
DOI: https://doi.org/10.1070/IM8629 (Mi im8629)

This article is cited in 4 scientific papers (total in 4 papers)

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

V. V. Nikulin^ab

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

English version PDF (406 kB) Citations (4) Russian version article

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DOI: https://doi.org/10.1070/IM8629

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.

Received: 18.11.2016

Bibliographic databases:

Document Type: Article

UDC: 512.774.4+512.774.2+512.542+512.647.4

PACS: 14J10, 14J28, 14J50

MSC: 14J10, 14J28, 14J50

Language: English

Original paper language: Russian

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

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/im8629

https://doi.org/10.1070/IM8629

https://www.mathnet.ru/eng/im/v81/i5/p105

This publication is cited in the following 4 articles:

Viacheslav V. Nikulin, “Classification of Degenerations of Codimension ${\le }\,5$ and Their Picard Lattices for Kählerian K3 Surfaces with the Symplectic Automorphism Group $(C_2)^2$ ”, Proc. Steklov Inst. Math., 320 (2023), 172–225
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
V. V. Nikulin, “Classification of Picard lattices of K3 surfaces”, Izv. Math., 82:4 (2018), 752–816

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Известия Российской академии наук. Серия математическая

Statistics & downloads:
Abstract page:	519
Russian version PDF:	58
English version PDF:	19
References:	63
First page:	14

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