2018/04/10 by Thomas Bauer, Bauer, Thomas, Grzegorz Malara +5
Mathematics · #14C20 and 14J26 and 14N20 and 13A15 and 13F20 #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.1804.03610
8 pages, 1 figure
arxiv created 2018/04/10 · arxiv updated 2018/04/11
Our research is motivated by recent work of Cook II, Harbourne, Migliore, and Nagel on configurations of points in the projective plane with properties that are unexpected from the point of view of the postulation theory. In this note, we revisit the basic configuration of nine points appearing in work of Gennaro/Ilardi/Vallès and Harbourne, and we exhibit some additional new properties of this configuration. We then pass to projective three-space and exhibit a surface with unexpected postulation properties there. Such higher dimensional phenomena have not been observed so far.