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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Exponential maps of a polynomial ring in two variables

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Author(s):
Crachiola, Anthony J. [1] ; Makar-Limanov, Leonid G. [2, 3]
Total Authors: 2
Affiliation:
[1] Saginaw Valley State Univ, Dept Math Sci, 7400 Bay Rd, University Ctr, MI 48710 - USA
[2] Wayne State Univ, Dept Math, Detroit, MI 48202 - USA
[3] Weizmann Inst Sci, Fac Math & Comp Sci, IL-7610001 Rehovot - Israel
Total Affiliations: 3
Document type: Journal article
Source: SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES; v. 13, n. 1, p. 73-82, JUN 2019.
Web of Science Citations: 0
Abstract

Let k be a field. We show that the ring of invariants of every exponential map on k{[}x,y] is generated by the image of x or y under a composition of triangular automorphisms. From this we obtain two well-known theorems on k{[}x,y] with no restriction on the characteristic of k: the Rentschler-Miyanishi theorem and the Jung-van der Kulk theorem. (AU)

FAPESP's process: 15/25280-1 - Stable tameness of the automorphisms of ane algebras
Grantee:Ivan Chestakov
Support Opportunities: Research Grants - Visiting Researcher Grant - International