On the torsion part of 𝐶^{[𝑛]} with respect to the action of a derivation

Coomes, Brian

doi:10.1090/S0002-9939-1995-1273485-7

On the torsion part of $\textbf {C}^ {[n]}$ with respect to the action of a derivation
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by Brian Coomes

Proc. Amer. Math. Soc. 123 (1995), 2191-2197

DOI: https://doi.org/10.1090/S0002-9939-1995-1273485-7

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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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