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|Title:||Hyperplane arrangements between Shi and Ish|
Oliveira, António Guedes de
|Abstract:||We introduce a new family of hyperplane arrangements in dimension n≥3 that includes both the Shi arrangement and the Ish arrangement. We prove that all the members of this family have the same number of regions -- the connected components of the complement of the union of the hyperplanes -- which can be bijectively labeled with the Pak-Stanley labelling. In addition, we characterise the Pak-Stanley labels of the regions of this family of hyperplane arrangements.|
|Appears in Collections:||AGG - Artigos|
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