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arXiv · 2503.12407

A characterization of binomial Macaulay dual generators for complete intersections

Kohsuke Shibata
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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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Kohsuke Shibata. 2025-03-16. A characterization of binomial Macaulay dual generators for complete intersections. https://arxiv.org/abs/2503.12407

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