Algorithm to Compute Orbit Zariski Closure in Affine Plane
Algebraic Geometry
2024-07-04 v1 Dynamical Systems
Abstract
The article demonstrates the procedure how to compute the Zariski closure of an orbit by an algebraic action of finitely generated group on the affine plane. First half of the algorithm is about deciding whether given finitely generated group is contained in an algebraic group. For the next half, we compute the totality of the invariant subvarieties for a single triangular automorphism. Then, the computation for the individual generators is applied to compute the orbit Zariski closure for a finitely generated group.
Keywords
Cite
@article{arxiv.2407.02739,
title = {Algorithm to Compute Orbit Zariski Closure in Affine Plane},
author = {Young Joon Ley},
journal= {arXiv preprint arXiv:2407.02739},
year = {2024}
}
Comments
37 pages. Comments are welcome