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On the Homology of the Real Complement of the $k$-Parabolic Subspace Arrangement
Subspace Arrangements Coxeter Groups Discrete Morse Theory
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2011/2/21
In this paper, we study k-parabolic arrangements, a generalization of the k-equal arrangement for any nite real re ection group. When k =2, these arrangements correspond to the well-studied Coxeter a...
The Shi arrangement and the Ish arrangement
The Shi arrangement the Ish arrangement
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2010/12/1
This paper is about two arrangements of hyperplanes. The first —the Shi arrangement — was introduced by Jian-Yi Shi [11, Chapter 7] to describe the Kazhdan-Lusztig cells in the affine Weyl group of ty...
A New Arrangement Inequality
Inequality Arrangement
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2008/7/3
A New Arrangement Inequality.
The Module of Logarithmic p-forms of a Locally Free Arrangement
Logarithmic p-forms Locally Free Arrangement
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2010/11/1
For an essential, central hyperplane arrangement A in V=k^{n+1}, we show that \Omega^1(A) (the module of logarithmic one forms with poles along A) gives rise to a locally free sheaf on P^n if and onl...