Matrixwise (approach to unexpected hypersurfaces) Reloaded
Algebraic Geometry
2025-02-26 v1
Abstract
In the paper we provide a new method of proving the existence of a hypersurface of degree in , with a general point of multiplicity and vanishing at a given set of points , by looking at weak combinatorics of a set . This method has a direct application in the theory of unexpected hypersurfaces, where many of the examples are based only on computer experiments.
Cite
@article{arxiv.2502.18088,
title = {Matrixwise (approach to unexpected hypersurfaces) Reloaded},
author = {Marcin Dumnicki and Grzegorz Malara and Halszka Tutaj-Gasińska},
journal= {arXiv preprint arXiv:2502.18088},
year = {2025}
}