2 papers
math.AG2026
Logarithmic Kunz and Radu--André Theorems
Ryoma Takeuchi
Frobenius morphisms play a crucial role in algebraic geometry and commutative algebra in positive characteristic. In particular, \textit{the Kunz theorem}, characterizing non-singu…
math.AC2026
A criterion for log regularity via log Frobenius-Witt differentials
Ryoma Takeuchi
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 loga…