On kernels of homogeneous locally nilpotent derivations of \(k[X,Y,Z]\) (Q1591245)
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scientific article; zbMATH DE number 1546688
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On kernels of homogeneous locally nilpotent derivations of \(k[X,Y,Z]\) |
scientific article; zbMATH DE number 1546688 |
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On kernels of homogeneous locally nilpotent derivations of \(k[X,Y,Z]\) (English)
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6 January 2003
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The main result of this article (theorem 2.2) gives a necessary and sufficient condition for the complement of a (geometrically) reduced curve in a weighted projective plane to be a product of an affine curve and the affine line. The author's condition involves homogeneous locally nilpotent derivations or more accurately, their kernels. The article relates to the author's previously published work on affine rulings [cf. \textit{D. Daigle}, Ann. Pol. Math. 76, No. 1-2, 47-66 (2001; Zbl 0984.14020)].
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product of an affine curve and the affine line
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nilpotent derivations
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