Generic projections of the $\mathrm{H}_{4}$ configuration of points

preprint2022arXivOpen access

In the present note we give an example of a finite set of points in $\mathbb{P}^{3}$ which has the so-called geproci property, but it is neither a grid nor a half-grid. This answers a question on the existence of such sets rised by Pokora, Szemberg and Szpond [arXiv:2010.08863].

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Generic projections of the $\mathrm{H}_{4}$ configuration of points

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Generic projections of the H4\mathrm{H}_{4}H4​ configuration of points

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Generic projections of the $\mathrm{H}_{4}$ configuration of points