For Cohen-Macaulay simplicial forests Δ, the ring R/I(Δ)^[k] is Cohen-Macaulay for every k ≥ 1, with depth given by an explicit combinatorial formula using special leaves.
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Square-free powers of Cohen-Macaulay simplicial forests
For Cohen-Macaulay simplicial forests Δ, the ring R/I(Δ)^[k] is Cohen-Macaulay for every k ≥ 1, with depth given by an explicit combinatorial formula using special leaves.