 For example, formula_79 is the blowup formula_80 of the diagonal modulo the symmetric action.The Hilbert scheme of degree k hypersurfaces in formula_2 is given by the projectivization formula_82.For example, the Hilbert scheme of degree 2 hypersurfaces in formula_83 is formula_77 with the universal hypersurface given by
where the underlying ring is bigraded.