Gradings allowing wild automorphisms
Algebraic Geometry
2021-04-09 v2 Rings and Algebras
Abstract
In 2004 Shestakov and Umirbaev proved that the Nagata automorphism of the polynomial algebra in three variables is wild. We fix a Z-grading on this algebra and consider graded-wild automorphisms, i.e. such automorphisms that can not be decomposed onto elementary automorphisms respecting the grading. We describe all gradings allowing graded-wild automorphisms.
Keywords
Cite
@article{arxiv.2103.13731,
title = {Gradings allowing wild automorphisms},
author = {Anton Trushin},
journal= {arXiv preprint arXiv:2103.13731},
year = {2021}
}