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- W2076868291 abstract "We study central hyperplane arrangements with integral coefficients modulo positive integers q. We prove that the cardinality of the complement of the hyperplanes is a quasi-polynomial in two ways, first via the theory of elementary divisors and then via the theory of the Ehrhart quasi-polynomials. This result is useful for determining the characteristic polynomial of the corresponding real arrangement. With the former approach, we also prove that intersection lattices modulo q are periodic except for a finite number of q’s." @default.
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- W2076868291 date "2007-08-25" @default.
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- W2076868291 title "Periodicity of hyperplane arrangements with integral coefficients modulo positive integers" @default.
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- W2076868291 doi "https://doi.org/10.1007/s10801-007-0091-2" @default.
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