Unexpected hypersurfaces with multiple fat points
Résumé
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 congurations of
points in projective spaces.
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