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math.CO2019
Non-ridge-chordal complexes whose clique complex has shellable Alexander dual
Bruno Benedetti, Davide Bolognini
A recent conjecture that appeared in three papers by Bigdeli--Faridi, Dochtermann, and Nikseresht, is that every simplicial complex whose clique complex has shellable Alexander dua…
math.CO2019★ 2 cited
P-flag spaces and incidence stratifications
Davide Bolognini, Paolo Sentinelli
For any finite poset P we introduce a homogeneous space as a quotient of the general linear group with the incidence group of P. When P is a chain this quotient is a flag variety;…