Abstract
We verify the g-conjecture for interval subdivisions of Cohen–Macaulay simplicial complexes, using purely combinatorial methods. More precisely, we show that the g-vector of the interval subdivision of a Cohen–Macaulay simplicial complex is an f-vector. Murai defined the -vector, starting from the -vector introduced by Novik for Buchsbaum simplicial complexes. We prove that the -vector of the interval subdivision of a Buchsbaum simplicial complex is an f-vector of some simplicial complex.
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