2018/12/10 by Justyna Szpond, Szpond, Justyna
Mathematics · #13A15 #13F20 #14C20 #14J26 #14N20 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG #msc:13A15 #msc:13F20 #msc:14C20 #msc:14J26 #msc:14N20
paper · pdf · doi:10.48550/arxiv.1812.04032
10 pages, comments welcome
arxiv created 2019/09/30 · arxiv updated 2019/10/01
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.