English

On the tame isotropy group of a derivation

Commutative Algebra 2025-12-17 v2

Abstract

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 two variables, and for simple Shamsuddin derivations in any polynomial ring.

Keywords

Cite

@article{arxiv.2501.10520,
  title  = {On the tame isotropy group of a derivation},
  author = {Angelo Bianchi and Adriana Freitas and Marcelo Veloso},
  journal= {arXiv preprint arXiv:2501.10520},
  year   = {2025}
}

Comments

The text has been completely reorganized, revised, and corrected. Three new sections present important new results