2-step ideals provide a new framework for finding reducible Hilbert schemes and elementary components, producing 215 new examples in dimensions 4, 5 and 6.
Cartwright, Daniel Erman, Mauricio Velasco, and Bianca Viray,Hilbert schemes of 8 points, Algebra Number Theory 3 (2009), no
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New components of Hilbert schemes of points and 2-step ideals
2-step ideals provide a new framework for finding reducible Hilbert schemes and elementary components, producing 215 new examples in dimensions 4, 5 and 6.