PreprintCC BY 4.0arXiv
Classification of Tor algebras for rings from general points by Waring Rank
Abstract
We determine the multiplicative structure on the Tor algebras associated to the coordinate rings of general points in ℙ3 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.
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BibTeX
@misc{fagerstrom2026classification,
title = {{Classification of Tor algebras for rings from general points by Waring Rank}},
author = {Kara Fagerstrom},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.21060},
eprint = {2609.21060},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.21060},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Classification of Tor algebras for rings from general points by Waring Rank
AU - Kara Fagerstrom
PY - 2026
DA - 2026/09/17
PB - arXiv
DO - 10.48550/arxiv.2609.21060
UR - https://arxiv.org/abs/2609.21060
AB - We determine the multiplicative structure on the Tor algebras associated to the coordinate rings of general points in 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.
ER -