Stanley-Reisner Ideals with Pure Resolutions

arXiv Math

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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-Söderberg 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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Stanley-Reisner Ideals with Pure Resolutions

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