Year: 2026
Type: preprint
Abstract: Frobenius morphisms play a crucial role in algebraic geometry and commutative algebra in positive characteristic. In particular, \textit{the Kunz theorem}, characterizing non-singularity via Frobenius morphisms, is a monumental work and has a relative version, called \textit{the Radu--André theorem}. In this paper, we extend the Kunz theorem and the Radu--André theorem to logarithmic algebraic geometry in positive characteristic.
Source: arXiv (Cornell University)
Author: Takeuchi, Ryoma
Institution: Institute of Science Tokyo
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221824636