10 citations · 21 across the 19 of their papers we have counts for
4 papers · 2 filters
Generalisations of the tame automorphisms over a domain of positive characteristic
Eric Edo, Shigeru Kuroda
In this paper, we introduce two generalizations of the tame subgroup of the automorphism group of a polynomial ring over a domain of positive characteristic. We study detailed stru…
Weighted multidegrees of polynomial automorphisms over a domain
Shigeru Kuroda
The notion of the weighted degree of a polynomial is a basic tool in Affine Algebraic Geometry. In this paper, we study the properties of the weighted multidegrees of polynomial au…
Initial forms of stable invariants for additive group actions
Shigeru Kuroda
The Derksen--Hadas--Makar-Limanov theorem (2001) says that the invariants for nontrivial actions of the additive group on a polynomial ring have no intruder. In this paper, we gene…
On the Karaś type theorems for the multidegrees of polynomial automorphisms
Shigeru Kuroda
To solve Nagata's conjecture, Shestakov-Umirbaev constructed a theory for deciding wildness of polynomial automorphisms in three variables. Recently, Karaś and others study multide…