K\"ahlerian K3 surfaces and Niemeier lattices.~I
Izvestiya. Mathematics , Tome 77 (2013) no. 5, pp. 954-997

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Using the results obtained in [1], Remark 1.14.7, we clarify the relation between Kählerian $\mathrm{K3}$ surfaces and Niemeier lattices. We emphasize that all 24 Niemeier lattices are important in the description of $\mathrm{K3}$ surfaces, not only the one related to the Mathieu group.
Keywords: $\mathrm{K3}$ surface, Kählerian surface, integer quadratic form.
Mots-clés : automorphism group
@article{IM2_2013_77_5_a3,
     author = {V. V. Nikulin},
     title = {K\"ahlerian {K3} surfaces and {Niemeier} {lattices.~I}},
     journal = {Izvestiya. Mathematics },
     pages = {954--997},
     publisher = {mathdoc},
     volume = {77},
     number = {5},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2013_77_5_a3/}
}
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V. V. Nikulin. K\"ahlerian K3 surfaces and Niemeier lattices.~I. Izvestiya. Mathematics , Tome 77 (2013) no. 5, pp. 954-997. http://geodesic.mathdoc.fr/item/IM2_2013_77_5_a3/