Multiplier Ideals of Sufficiently General Polynomials
Abstract
It is well known that the multiplier ideal μltrI of an ideal I determines in a straightforward way the multiplier ideal μltrf of a sufficiently general element f of I. We give an explicit condition on a polynomial f ∈ [x1,...,xn] which guarantees that it is a sufficiently general element of the most natural associated monomial ideal, the ideal generated by its terms. This allows us to directly calculate the multiplier ideal μltrf (for all r) of ``most'' polynomials f.
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