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Classification of Tor algebras for rings from general points by Waring Rank

Fagerstrom, Kara
arXiv (All) · Papers
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commutative-algebra
We determine the multiplicative structure on the Tor algebras associated to the coordinate rings of general points in $\mathbb{P}^3$ in terms of the number of points. We show that in codimension four, the Waring rank of a form determines the Tor algebra class of its apolar Artinian Gorenstein ring f
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