2011/08/02 by Satoshi Murai, Eran Nevo, Murai, Satoshi +1
Mathematics · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics #math.CO
paper · pdf · doi:10.48550/arxiv.1108.0572
arxiv created 2011/08/02 · openalex publication_date 2011/08/02 · arxiv updated 2011/08/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We characterize the cd-indices of Gorenstein* posets of rank 5, equivalently the flag f-vectors of Gorenstein* order complexes of dimension 3. As a corollary, we characterize the f-vectors of Gorenstein* order complexes in dimensions 3 and 4. This characterization rise a speculated intimate connection between the f-vectors of flag homology spheres and the f-vectors of Gorenstein* order complexes.