Extensions of the Shi/ish Duality
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چکیده
We generalize a known bijection between the regions of the Shi and Ish hyperplane arrangements to a bijection between the regions of the nested-Ish and extendedShi arrangements. Although our bijection does not preserve the degrees of freedom statistic, we show that several of the steps do preserve this information, and we give formulas for the number of regions of each arrangement with a given number of degrees of freedom.
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تاریخ انتشار 2015