46 citations · 160 across the 23 of their papers we have counts for
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math.CO2019★ 7 cited
Representations of torsion-free arithmetic matroids
Roberto Pagaria, Giovanni Paolini
We study the representability problem for torsion-free arithmetic matroids. By using a new operation called "reduction" and a "signed Hermite normal form", we provide and implement…
math.CO2018★ 3 cited
Shellability of generalized Dowling posets
Giovanni Paolini
A generalization of Dowling lattices was recently introduced by Bibby and Gadish, in a work on orbit configuration spaces. The authors left open the question as to whether these po…
math.CO2017
Shellability of posets of labeled partitions and arrangements defined by root systems
Emanuele Delucchi, Noriane Girard, Giovanni Paolini
We prove that the posets of connected components of intersections of toric and elliptic arrangements defined by root systems are EL-shellable and we compute their homotopy type. Ou…