Shi threshold arrangement
The electronic journal of combinatorics, Tome 19 (2012) no. 3
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
Mots-clés : hyperplane arrangements, Shi threshold arrangement, finite field method
Affiliations des auteurs :
Seunghyun Seo  1
@article{10_37236_2046,
author = {Seunghyun Seo},
title = {Shi threshold arrangement},
journal = {The electronic journal of combinatorics},
year = {2012},
volume = {19},
number = {3},
doi = {10.37236/2046},
zbl = {1257.52009},
url = {http://geodesic.mathdoc.fr/articles/10.37236/2046/}
}
Seunghyun Seo. Shi threshold arrangement. The electronic journal of combinatorics, Tome 19 (2012) no. 3. doi: 10.37236/2046
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