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Unexpected hypersurfaces with multiple fat points

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 rst time the existence of unexpected hypersurfaces with multiple fat points. The key underlying idea is to study Fermat-type con gurations of points in projective spaces.
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Submitted on : Wednesday, August 5, 2020 - 5:04:43 PM
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Justyna Szpond. Unexpected hypersurfaces with multiple fat points. MEGA 2019 - International Conference on Effective Methods in Algebraic Geometry, Jun 2019, Madrid, Spain. ⟨hal-02912365⟩

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