Luis Cid

collaborators

4 papers

math.AG2026

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…

math.AG2026

On nice $G_{m}$ -actions arising from locally nilpotent derivations with slice

Luis Cid

Let $k$ be an algebraically closed field of characteristic zero and $B$ a finitely generated $k$ -domain. Given a locally nilpotent derivation $D$ on $B$ admitting a slice $s$ , the…

math.AC2026

On isotropy group of locally finite derivations on $K [X, Y]$

Luis Cid, Marcelo Veloso

In this paper, we study the isotropy groups of locally finite derivations of the polynomial ring $K [X, Y]$ , using Van den Essen's classification of locally finite derivatio…

math.AG2026

Semisimple derivations, rational slice and kernels over affine domains

Luis Cid

Let k be an algebraically closed field of characteristic zero and let B be a finitely generated k-domain. We study semisimple derivations on B, with special emphasis on those whose…

On the Tame Isotropy Group of Locally Finite Derivations of K[X,Y]

On nice Gm​-actions arising from locally nilpotent derivations with slice

On isotropy group of locally finite derivations on K[X,Y]

Semisimple derivations, rational slice and kernels over affine domains

On nice $G_{m}$ -actions arising from locally nilpotent derivations with slice

On isotropy group of locally finite derivations on $K [X, Y]$