  Using results (especially see Remark 1.14.7) of our paper "Integral symmetric
bilinear forms and some of their applications", 1979, we clarify relation
between Kahlerian K3 surfaces and Niemeier lattices. We want to emphasise that
all twenty four Niemeier lattices are important for K3 surfaces, not only the
one which is related to the Mathieu group.

Algebraic Geometry