10 citations · 21 across the 19 of their papers we have counts for
21 papers
Nagata's conjecture on a polynomial automorphism in positive characteristic
Shigeru Kuroda
An automorphism of the polynomial ring over a field is said to be if it can be obtained by composing affine automorphisms and elementary au…
On exponentiality of automorphisms of of order in characteristic
Shigeru Kuroda
Let be an integral affine scheme of characteristic , and a non-identity automorphism of . If is , i.e., induced from a -action…
Polynomial automorphisms of characteristic order and their invariant rings
Shigeru Kuroda
Let be a field of characteristic . We discuss the automorphisms of the polynomial ring of order , or equivalently the -actions on…
A new class of finitely generated polynomial subalgebras without finite SAGBI bases
Shigeru Kuroda
The notion of initial ideal for an ideal of a polynomial ring appears in the theory of Gröbner basis. Similarly to the initial ideals, we can define the initial algebra for a subal…
Anick type automorphisms and new irreducible representations of Leavitt path algebras
Shigeru Kuroda, Tran Giang Nam
In this article, we give a new class of automorphisms of Leavitt path algebras of arbitrary graphs. Consequently, we obtain Anick type automorphisms of these Leavitt path algebras…
Linearization of holomorphic families of algebraic automorphisms of the affine plane
Shigeru Kuroda, Frank Kutzschebauch, Tomasz Pełka
Let be a reductive group. We prove that a family of polynomial actions of on , holomorphically parametrized by an open Riemann surface, is linearizable. As an…