Triangulable locally nilpotent derivations in dimension three

TL;DR

This paper presents an algorithm to identify and transform triangulable locally nilpotent derivations in three-dimensional space into a triangular form, facilitating their analysis and understanding.

Contribution

It introduces a novel algorithm that recognizes and constructs a coordinate system for triangulable locally nilpotent derivations in dimension three.

Findings

Algorithm successfully recognizes triangulable derivations.

Produces a coordinate system with triangular form.

Enhances understanding of derivations in algebraic geometry.

Abstract

In this paper we give an algorithm to recognize triangulable locally nilpotent derivations in dimension three. In case the given derivation is triangulable, our method produces a coordinate system in which it exhibits a triangular form.