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Uniform comparison of multiplier and test ideals for polynomials with affinely independent support
Abstract
Let f∈Q[x1,…,xn] 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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BibTeX
@misc{shibuta2026uniform,
title = {{Uniform comparison of multiplier and test ideals for polynomials with affinely independent support}},
author = {Takafumi Shibuta},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.05914},
eprint = {2611.05914},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.05914},
}
RIS
TY - UNPB
TI - Uniform comparison of multiplier and test ideals for polynomials with affinely independent support
AU - Takafumi Shibuta
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2611.05914
UR - https://arxiv.org/abs/2611.05914
AB - Let f∈Q[x_1,…,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.
ER -