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Jun 5, 2010 at 6:15 comment added Gwyn Whieldon The square-free case isn't really a specialization. The polarization of any monomial ideal has an identical resolution/betti numbers, etc, so you can check any monomial ideal for CM-ness using homology of simplicial complexes.
Jun 1, 2010 at 9:47 history edited Victor Protsak CC BY-SA 2.5
Groebner degeneration, rearranged the order
Jun 1, 2010 at 9:25 history answered Victor Protsak CC BY-SA 2.5