Geodesic
Shi threshold arrangement
Seunghyun Seo1
1Kangwon National University
The electronic journal of combinatorics, Tome 19 (2012) no. 3

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Zbl
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 
Seunghyun Seo. Shi threshold arrangement. The electronic journal of combinatorics, Tome 19 (2012) no. 3. doi: 10.37236/2046
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     author = {Seunghyun Seo},
     title = {Shi threshold arrangement},
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     year = {2012},
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     number = {3},
     doi = {10.37236/2046},
     zbl = {1257.52009},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/2046/}
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