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A note on the Jacobian conjecture
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.ORCID iD: 0000-0002-2681-8383
2008 (English)In: Proceedings of the American Mathematical Society, ISSN 0002-9939, E-ISSN 1088-6826, Vol. 136, no 9, 3007-3011 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we consider the Jacobian conjecture for a map f of complex a. ne spaces of dimension n. It is well known that if f is proper, then the conjecture will hold. Using topological arguments, specifically Smith theory, we show that the conjecture holds if and only if f is proper onto its image.

Place, publisher, year, edition, pages
2008. Vol. 136, no 9, 3007-3011 p.
Keyword [en]
Jacobian conjecture, Smith theory
Identifiers
URN: urn:nbn:se:kth:diva-17557ISI: 000256157300001Scopus ID: 2-s2.0-77950652663OAI: oai:DiVA.org:kth-17557DiVA: diva2:335601
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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Lindquist, Anders

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