A characterization of binomial Macaulay dual generators for complete intersections
Commutative Algebra
2025-03-18 v1
Abstract
We characterize a binomial such that the Artinian algebra whose Macaulay dual generator is the binomial is a complete intersection. As an application, we prove that the Artinian algebra with a binomial Macaulay dual generator has the strong Lefschetz property in characteristic 0 if the Artinian algebra is a complete intersection.
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Cite
@article{arxiv.2503.12407,
title = {A characterization of binomial Macaulay dual generators for complete intersections},
author = {Kohsuke Shibata},
journal= {arXiv preprint arXiv:2503.12407},
year = {2025}
}
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13 pages