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arXiv · 2409.05481

Stanley-Reisner Ideals with Pure Resolutions

David Carey·Mordechai Katzman
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Abstract

This paper investgates Stanley-Reisner ideals with pure resolutions. We first describe two infinite families of such ideals associated to highly symmetric complexes. We then prove a partial analogue to the first Boij-S\"oderberg Conjecture for Stanley-Reisner ideals, by detailing an algorithm for constructing Stanley-Reisner ideals with pure Betti diagrams of any given shape, save for an initial shift.

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David Carey, Mordechai Katzman. 2024-09-09. Stanley-Reisner Ideals with Pure Resolutions. https://arxiv.org/abs/2409.05481

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