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math.AC2007★ 1 cited
The Jacobian ideal of a hyperplane arrangement
Max Wakefield, Masahiko Yoshinaga
The Jacobian ideal of a hyperplane arrangement is an ideal in the polynomial ring whose generators are the partial derivatives of the arrangements defining polynomial. In this arti…
math.AC2006
The characteristic polynomial of a multiarrangement
Takuro Abe, Hiroaki Terao, Max Wakefield
Given a multiarrangement of hyperplanes we define a series by sums of the Hilbert series of the derivation modules of the multiarrangement. This series turns out to be a polynomial…