A criterion for log regularity via log Frobenius-Witt differentials
Ryoma Takeuchi
TL;DR
This paper extends the concept of FW-differentials to the logarithmic setting, providing a new criterion for log regularity based on these modules.
Contribution
It introduces logarithmic FW-derivations and modules, and establishes a regularity criterion in terms of these new logarithmic modules.
Findings
Developed logarithmic analogues of FW-derivations and differentials.
Established a criterion for log regularity using these modules.
Analyzed basic properties of the logarithmic FW-structures.
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.
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