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arXiv · 2611.05914

Uniform comparison of multiplier and test ideals for polynomials with affinely independent support

Takafumi Shibuta
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Abstract

Let $f\in\Q[x_1,\ldots,x_n]$ have affinely independent exponent vectors. We prove that its test ideals agree with the reductions of its multiplier ideals at all nonnegative real exponents for every sufficiently large prime in one arithmetic progression. The progression depends only on the support of $f$.

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Takafumi Shibuta. 2026-11-04. Uniform comparison of multiplier and test ideals for polynomials with affinely independent support. https://arxiv.org/abs/2611.05914

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