Author

S. Kuroda

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Open access Aug 2024

On Exponentiality of Automorphisms of An\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\textbf {A}}^{n}$$\end{docume

Let X be an integral affine scheme of characteristic p>0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p>0$$\end{document}, and σ\documen...

S. Kuroda · Transformation groups · 0 citations

Preprint Sep 2026

Nagata's conjecture on a polynomial automorphism in positive characteristic

An automorphism of the polynomial ring $k[x_1,\ldots ,x_n]$ over a field $k$ is said to be $\mathit{tame}$ if it can be obtained by composing affine automorphisms and elementary automorphisms, and $\mathit{wild}$ otherwise. Jung and van der Kulk showed that every automorphism of $k[x_1,x_2]$ is tame. In 1972, Nagata co...

S. Kuroda · 0 citations