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

joint with Lazar Radičević

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.

Computing structure constants for rings of finite rank from minimal free resolutions   (22 pages)     dvi   ps   ps.gz   pdf