Logarithmic Kunz and Radu--André Theorems
Ryoma Takeuchi
Abstract
Frobenius morphisms play a crucial role in algebraic geometry and commutative algebra in positive characteristic. In particular, the Kunz theorem, characterizing non-singularity via Frobenius morphisms, is a monumental work and has a relative version, called 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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