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  Exponential maps of a polynomial ring in two variables

Crachiola, A. J., & Makar-Limanov, L. G. (2019). Exponential maps of a polynomial ring in two variables. São Paulo Journal of Mathematical Sciences, 13(1), 73-82. doi:10.1007/s40863-019-00124-9.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0004-6998-B Version Permalink: https://hdl.handle.net/21.11116/0000-000A-E7C8-0
Genre: Journal Article

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 Creators:
Crachiola, Anthony J., Author
Makar-Limanov, Leonid G.1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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 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.

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Language(s): eng - English
 Dates: 2019
 Publication Status: Issued
 Pages: 10
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 Rev. Type: Peer
 Identifiers: DOI: 10.1007/s40863-019-00124-9
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Title: São Paulo Journal of Mathematical Sciences
  Abbreviation : São Paulo J. Math. Sci.
Source Genre: Journal
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Publ. Info: Springer
Pages: - Volume / Issue: 13 (1) Sequence Number: - Start / End Page: 73 - 82 Identifier: -