Multiplier Ideals of Sufficiently General Polynomials

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dc.creatorHowald, Jason
dc.date2003-03-17
dc.date.accessioned2026-07-07T04:56:07Z
dc.date.available2026-07-07T04:56:07Z
dc.descriptionIt 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 $f$.
dc.description9 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0303203
dc.identifierhttp://arxiv.org/abs/math/0303203
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66808
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14M25 14Q99
dc.titleMultiplier Ideals of Sufficiently General Polynomials
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