Niemeier lattices, mathieu groups, and finite groups of symplectic automorphisms of K3 surfaces

Duke Mathematical Journal

Volumn 92, Issue 3, 1998, Pages 593-603

  Kondō, Shigeyuki ^a  

^a NAGOYA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000057762     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-98-09217-1     Document Type: Article

References (7)

1. J. H. Conway, “Three lectures on exceptional groups” in Finite Simple Groups (Proc. Instructional Conf, Oxford1969), Academic Press, London, 1971, 215-247.
2. S. Kondō, Niemeier lattices, Mathieu groups, and finite groups of symplectic automorphisms of K3 surfaces, Duke Math. J. 92 (1998), 593-598.
3. S. Mukai, Finite groups of automorphisms of K3 surfaces and the Mathieu group, Invent. Math. 94 (1988), 183-221.
4. V. V. Nikulin, Finite groups of automorphisms of Kahlerian surfaces of type K3, Trudy Moskov. Mat. Obschch. 38 (1979), 71-137.
5. V. V. Nikulin, Integer symmetric bilinear forms and some of their geometric applications, Izv. Akad. Nauk SSSR Ser. Mat. 43 (1979), 111-177.
6. T. SHIODA and H. Inose, “On singular K3 surfaces” in Complex Analysis and Algebraic Geometry, Iwanami Shoten, Tokyo, 1977, 113-136.
7. G. Xiao, Galois covers between K3 surfaces, Ann. Inst. Fourier (Grenoble) 46 (1996), 73-88.