Computing the $F$-pure Threshold of Flag Varieties
Algebraic Geometry
2025-09-26 v3 Commutative Algebra
Abstract
We compute the -pure threshold of the natural cone over flag varieties in characteristic . Our calculations are mainly focused on flag varieties that are arithmetically Gorenstein, but we offer some results in the non-Gorenstein case. Our goal is to determine the -invariant of the cone. As a result, the -pure thresholds we find are independent of the characteristic , hence one immediately gets the value of the log canonical threshold of flags in characteristic 0 as well.
Cite
@article{arxiv.2311.06908,
title = {Computing the $F$-pure Threshold of Flag Varieties},
author = {Justin Fong},
journal= {arXiv preprint arXiv:2311.06908},
year = {2025}
}
Comments
Final version (contains some notational changes, and some additional arguments been added). Published in Journal of Algebra