On the recognition problem of quasi-homogeneous locally nilpotent derivations in dimension three |
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| Authors: | Arno van den Essen Daan Holtackers |
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| Institution: | Department of Mathematics, University of van Nijmegen, Toernooiveld, 6525 ED Nijmegen, The Netherlands |
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| Abstract: | We give a criterion to decide if a given w-homogeneous derivation on A?kX1,X2,X3] is locally nilpotent. We deduce an algorithm which decides if a k-subalgebra of A, which is finitely generated by w-homogeneous elements, is the kernel of some locally nilpotent derivation. |
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| Keywords: | 13N15 14R20 14R10 |
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