6 citations · 6 across the 6 of their papers we have counts for
9 papers
On the Isotropy Groups of Locally Finite Derivations of Laurent Polynomial Algebras
Anderson Porto, Marcelo Veloso
Let be a Laurent polynomial algebra over a field of characteristic zero. We determine explicitly the automorphisms commu…
On Locally Finite Derivations in Ore Extensions
R. Baltazar, A. Bianchi, M. Veloso +1
Let be an algebraically closed field of characteristic zero. We classify the locally finite derivations of arbitrary Ore extensions of , thus extending van den Es…
On the Tame Isotropy Group of Locally Finite Derivations of K[X,Y]
Luis Cid, Marcelo Veloso
Let K be an algebraically closed field of characteristic zero. We study the tame isotropy group Tame_D(K[X,Y]) of locally finite derivations of the polynomial ring K[X,Y], using Va…
On isotropy group of locally finite derivations on
Luis Cid, Marcelo Veloso
In this paper, we study the isotropy groups of locally finite derivations of the polynomial ring , using Van den Essen's classification of locally finite derivatio…
On -primitive points on hypersurfaces
José Alves Oliveira, Marcelo Oliveira Veloso
In this paper, we estimate the number of -primitive points on the affine hypersurface defined by the equation , where $f\in\mathbb{F}_q[x_1,\dots…
On the tame isotropy group of a derivation
Angelo Bianchi, Adriana Freitas, Marcelo Veloso
We introduce the tame isotropy group of a derivation of a polynomial ring. We study this group for certain triangular derivations up to three variables, for simple derivations in t…
On Isotropy Group of Danielewski Surfaces
Rene Baltazar, Marcelo Veloso
In the present work we consider differential rings of the form where is a Danielewski surface and is a locally nilpotent derivation on $\mathcal B…
Rings of constants of linear derivations on Fermat rings
Marcelo Oliveira Veloso, Ivan Shestakov
In this paper we characterize all the linear -derivations of the Fermat ring. We show that the Fermat ring has linear -derivations with trivial ring of cons…
Locally nilpotent derivations and automorphism groups of certain Danielewski surfaces
Angelo Calil Bianchi, Marcelo Oliveira Veloso
We describe the set of all locally nilpotent derivations of the quotient ring constructed from the defining equation of a gene…