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math.AC2009★ 1 cited
Face rings of complexes with singularities
Isabella Novik, Ed Swartz
It is shown that the face ring of a pure simplicial complex modulo generic linear forms is a ring with finite local cohomology if and only if the link of every face of dimensio…
math.AC2006★ 5 cited
Face ring multiplicity via CM-connectivity sequences
Isabella Novik, Ed Swartz
The multiplicity conjecture of Herzog, Huneke, and Srinivasan is verified for the face rings of the following classes of simplicial complexes: matroid complexes, complexes of dimen…