$F$-pure threshold for the symmetric determinantal ring
Commutative Algebra
2025-08-26 v5
Abstract
We give a value for the -pure threshold at the maximal homogeneous ideal of the symmetric determinantal ring over a field of prime characteristic. The answer is characteristic independent, so we immediately get the log canonical threshold in characteristic zero as well.
Cite
@article{arxiv.2407.09978,
title = {$F$-pure threshold for the symmetric determinantal ring},
author = {Justin Fong},
journal= {arXiv preprint arXiv:2407.09978},
year = {2025}
}
Comments
Final version. Contents of section 2.1 of pervious version has been moved to the introduction. Accepted for publication in Communications in Algebra