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arXiv · 2401.13788

Cellular structure of the Pommaret-Seiler resolution for quasi-stable ideals

Rodrigo Iglesias·Eduardo Sáenz-de-Cabezón
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Abstract

We prove that the Pommaret-Seiler resolution for quasi-stable ideals is cellular and give a cellular structure for it. This shows that this resolution is a generalization of the well known Eliahou-Kervaire resolution for stable ideals in a deeper sense. We also prove that the Pommaret-Seiler resolution can be reduced to the minimal one via Discrete Morse Theory and provide a constructive algorithm to perform this reduction.

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Rodrigo Iglesias, Eduardo Sáenz-de-Cabezón. 2024-01-24. Cellular structure of the Pommaret-Seiler resolution for quasi-stable ideals. https://arxiv.org/abs/2401.13788

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