S. Kuroda

activity

20072026

most citedWildness of polynomial automorphisms in three variables

10 citations · 21 across the 19 of their papers we have counts for

collaborators

Showing 2014 · math.ACShow all

2 papers · 2 filters

math.AC2014

A generalization of Nakai's theorem on locally finite iterative higher derivations

Shigeru Kuroda

Let $k$ be a field of arbitrary characteristic. Nakai (1978) proved a structure theorem for $k$ -domains admitting a nontrivial locally finite iterative higher derivation when $k$ i…

math.AC2014

Subgroups of polynomial automorphisms with diagonalizable fibers

Shigeru Kuroda

Let $R$ be an integral domain over a field $k$ , and $G$ a subgroup of the automorphism group of the polynomial ring $R [x_{1}, ..., x_{n}]$ over $R$ . In this paper, we discuss when $G$ i…