PreprintarXiv licencearXiv
Filtered deformations of three-variable polynomial algebras
Abstract
We classify all filtered deformations of polynomial rings in three variables. We use our characterization to answer a special case of a question of Etingof by showing that if F is an algebraically closed field of positive characteristic and A is an F-algebra with a filtration by finite dimensional subspaces whose associated graded ring is a polynomial ring in three variables then A satisfies a polynomial identity.
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BibTeX
@misc{bell2026filtered,
title = {{Filtered deformations of three-variable polynomial algebras}},
author = {Jason Bell and Boris Li},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.06710},
eprint = {2609.06710},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.06710},
}
RIS
TY - UNPB
TI - Filtered deformations of three-variable polynomial algebras
AU - Jason Bell
AU - Boris Li
PY - 2026
DA - 2026/10/07
PB - arXiv
DO - 10.48550/arxiv.2609.06710
UR - https://arxiv.org/abs/2609.06710
AB - We classify all filtered deformations of polynomial rings in three variables. We use our characterization to answer a special case of a question of Etingof by showing that if F is an algebraically closed field of positive characteristic and A is an F-algebra with a filtration by finite dimensional subspaces whose associated graded ring is a polynomial ring in three variables then A satisfies a polynomial identity.
ER -