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arXiv · 2502.18088

Matrixwise (approach to unexpected hypersurfaces) Reloaded

Marcin Dumnicki·Grzegorz Malara·Halszka Tutaj-Gasińska
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Abstract

In the paper we provide a new method of proving the existence of a hypersurface of degree $d$ in $\mathbb{P}^n$, with a general point of multiplicity $m$ and vanishing at a given set of points $Z$, by looking at weak combinatorics of a set $Z$. This method has a direct application in the theory of unexpected hypersurfaces, where many of the examples are based only on computer experiments.

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Marcin Dumnicki, Grzegorz Malara, Halszka Tutaj-Gasińska. 2025-02-25. Matrixwise (approach to unexpected hypersurfaces) Reloaded. https://arxiv.org/abs/2502.18088

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