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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the torsion part of $ {\bf C}\sp {[n]}$ with respect to the action of a derivation


Author: Brian Coomes
Journal: Proc. Amer. Math. Soc. 123 (1995), 2191-2197
MSC: Primary 34A20; Secondary 12H05, 34C99
MathSciNet review: 1273485
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Abstract: We show that the torsion part of $ {\mathbb{C}^{[n]}}$ with respect to the action of a derivation is algebraically closed in $ {\mathbb{C}^{[n]}}$ if the flow associated with the derivation is analytic on $ \mathbb{C} \times {\mathbb{C}^n}$. We also present a connection between this result and Keller's Jacobian conjecture.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1273485-7
PII: S 0002-9939(1995)1273485-7
Article copyright: © Copyright 1995 American Mathematical Society