exists a 2-dimensional set of points where this breaks down. Specifically, at these points, the quadratic cone degenerates into two flat planes. These points are the singular points of the quadratic line complex. The set of these points is its singular surface. The singular surface is Kummer's surface.

Level 2 structure

Kummer's 16₆ configuration

There are several crucial points which relate the geometric, algebraic, and combinatorial aspects of the configuration of the nodes of the kummer

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