A criterion for log regularity via log Frobenius-Witt differentials
Commutative Algebra
2026-04-27 v2 Algebraic Geometry
Abstract
T. Saito introduced FW-derivations and the modules of FW-differentials. He gave a regularity criterion in terms of the modules of FW-differentials. In this paper, we introduce logarithmic analogues of FW-derivations and the modules of FW-differentials. We study basic properties of them and give a logarithmic regularity criterion in terms of the modules of logarithmic FW-differentials.
Cite
@article{arxiv.2604.17394,
title = {A criterion for log regularity via log Frobenius-Witt differentials},
author = {Ryoma Takeuchi},
journal= {arXiv preprint arXiv:2604.17394},
year = {2026}
}