Shi threshold arrangement
The electronic journal of combinatorics, Tome 19 (2012) no. 3
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Richard Stanley suggested the problem of finding the number of regions and the characteristic polynomial of a certain hyperplane arrangement defined by $x_i + x_j=0,1$, which is called the Shi threshold arrangement. We present the answer of the problem, using the finite field method.
DOI : 10.37236/2046
Classification : 52C35, 05A15
Mots-clés : hyperplane arrangements, Shi threshold arrangement, finite field method

Seunghyun Seo  1

1 Kangwon National University
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Seunghyun Seo. Shi threshold arrangement. The electronic journal of combinatorics, Tome 19 (2012) no. 3. doi: 10.37236/2046

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