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arXiv · 2109.07845

Computing structure constants for rings of finite rank from minimal free resolutions

Tom Fisher·Lazar Radičević
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Abstract

We show how the minimal free resolution of a set of $n$ points in general position in projective space of dimension $n-2$ explicitly determines structure constants for a ring of rank $n$. This generalises previously known constructions of Levi-Delone-Faddeev and Bhargava in the cases $n=3,4,5$.

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Tom Fisher, Lazar Radičević. 2021-09-16. Computing structure constants for rings of finite rank from minimal free resolutions. https://arxiv.org/abs/2109.07845

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