Logarithmic Kunz and Radu--André Theorems

Ryoma Takeuchi

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arXiv · 2610.16307

Logarithmic Kunz and Radu--André Theorems

Ryoma Takeuchi

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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.

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BibTeX RIS

Ryoma Takeuchi. 2026-10-12. Logarithmic Kunz and Radu--André Theorems. https://arxiv.org/abs/2610.16307

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