Please use this identifier to cite or link to this item:
|Title:||Hyperplane arrangements between Shi and Ish|
Guedes de Oliveira, António
|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|
MAT - Artigos
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.