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math.CO2006
Lattice point counts for the Shi arrangement and other affinographic hyperplane arrangements
David Forge, Thomas Zaslavsky
Hyperplanes of the form x_j = x_i + c are called affinographic. For an affinographic hyperplane arrangement in R^n, such as the Shi arrangement, we study the function f(M) that cou…
math.CO2006
On the division of space by topological hyperplanes
David Forge, Thomas Zaslavsky
A topological hyperplane is a subspace of R^n (or a homeomorph of it) that is topologically equivalent to an ordinary straight hyperplane. An arrangement of topological hyperplanes…