Year: 2026
Type: preprint
Abstract: 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 for a dense subset of the forms of fixed Waring rank and sufficiently large degree.
Source: arXiv (Cornell University)
Author: Fagerstrom, Kara
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7213935111