= Konrad J. Swanepoel
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<Konrad J. Swanepoel> coauthored an extension of <Sylvester-Gallai theorem> geometry with <Noam Elkies> and <Lou M. Pretorius>. Their paper gives an elementary proof that a finite Sylvester-Gallai configuration over the complex numbers lies in a projective plane, and extends the conclusion over the <quaternions> to a three-dimensional flat.<Sylvester-Gallai Theorems for Complex Numbers and Quaternions by Noam Elkies and others>[Original byline and abstract]{ref}
The result shows that incidence constraints depend on the underlying scalars: the corresponding real configuration must already be collinear.
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