Duke Mathematical Journal

Niemeier lattices, Mathieu groups, and finite groups of symplectic automorphisms of $K3$ surfaces

Shigeyuki Kondō
Source: Duke Math. J. Volume 92, Number 3 (1998), 593-603.
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Primary Subjects: 14J28
Secondary Subjects: 11H06, 14J50
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077231678
Mathematical Reviews number (MathSciNet): MR1620514
Zentralblatt MATH identifier: 0958.14025
Digital Object Identifier: doi:10.1215/S0012-7094-98-09217-1

References

[1] J. H. Conway, Three lectures on exceptional groups, Finite simple groups (Proc. Instructional Conf., Oxford, 1969), Academic Press, London, 1971, pp. 215–247.
Mathematical Reviews (MathSciNet): MR49:2918
[2] S. Kondō, Niemeier lattices, Mathieu groups, and finite groups of symplectic automorphisms of $K3$ surfaces, Duke Math. J. 92 (1998), no. 3, 593–603.
Mathematical Reviews (MathSciNet): MR99i:14042
Zentralblatt MATH: 0958.14025
Digital Object Identifier: doi:10.1215/S0012-7094-98-09217-1
Project Euclid: euclid.dmj/1077231678
[3] S. Mukai, Finite groups of automorphisms of $K3$ surfaces and the Mathieu group, Invent. Math. 94 (1988), no. 1, 183–221.
Mathematical Reviews (MathSciNet): MR90b:32053
Zentralblatt MATH: 0705.14045
Digital Object Identifier: doi:10.1007/BF01394352
[4] V. V. Nikulin, Finite groups of automorphisms of Kählerian $K3$ surfaces, Trudy Moskov. Mat. Obshch. 38 (1979), 75–137.
Mathematical Reviews (MathSciNet): MR81e:32033
Zentralblatt MATH: 0433.14024
[5] V. V. Nikulin, Integer symmetric bilinear forms and some of their geometric applications, Izv. Akad. Nauk SSSR Ser. Mat. 43 (1979), no. 1, 111–177, 238.
Mathematical Reviews (MathSciNet): MR80j:10031
Zentralblatt MATH: 0408.10011
[6] T. Shioda and H. Inose, On singular $K3$ surfaces, Complex analysis and algebraic geometry, Iwanami Shoten, Tokyo, 1977, pp. 119–136.
Mathematical Reviews (MathSciNet): MR56:371
Zentralblatt MATH: 0374.14006
[7] G. Xiao, Galois covers between $K3$ surfaces, Ann. Inst. Fourier (Grenoble) 46 (1996), no. 1, 73–88.
Mathematical Reviews (MathSciNet): MR97b:14047
Zentralblatt MATH: 0845.14026

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