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arXiv · 1812.04032

Unexpected hypersurfaces with multiple fat points

Justyna Szpond
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Abstract

Starting with the ground-breaking work of Cook II, Harbourne, Migliore and Nagel, there has been a lot of interest in unexpected hypersurfaces. In the last couple of months a considerable number of new examples and new phenomena has been observed and reported on. All examples studied so far had just one fat point. In this note we introduce a new series of examples, which establishes for the first time the existence of unexpected hypersurfaces with multiple fat points. The key underlying idea is to study Fermat-type configurations of points in projective spaces.

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Justyna Szpond. 2018-12-10. Unexpected hypersurfaces with multiple fat points. https://arxiv.org/abs/1812.04032

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