Gradings allowing wild automorphisms

Published 25 Mar 2021 in math.AG and math.RA | (2103.13731v2)

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.

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Authors (1)

Anton Trushin

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