Multiplier Ideals of Sufficiently General Polynomials

Details Multiplier Ideals of Sufficiently General Polynomials Multiplier Ideals of Sufficiently General Polynomials

2003-03-17

arxiv.org/abs/math/0303203v1

Mathematics

Algebraic Geometry

9 pages, 1 figure

Scientific paper

It is well known that the multiplier ideal $\multr{I}$ of an ideal $I$ determines in a straightforward way the multiplier ideal $\multr{f}$ of a sufficiently general element $f$ of $I$. We give an explicit condition on a polynomial $f \in \CC[x_1,...,x_n]$ 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 $\multr{f}$ (for all $r$) of ``most'' polynomials $f$.

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