Computing the Tutte Polynomial of a Hyperplane Arragement
نویسنده
چکیده
Theorem 1.1 [Zaslavsky 1975]. Let A be a hyperplane arrangement in Rn . The number of regions into which A dissects Rn is equal to (−1)χA(−1). The number of regions which are relatively bounded is equal to (−1)χA(1). Theorem 1.2 [Orlik and Solomon 1980]. Let A be a hyperplane arrangement in Cn , and let MA =Cn− ⋃ H∈A H be its complement. Then the Poincaré polynomial of the cohomology ring of MA is given by: ∑
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تاریخ انتشار 2007