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Locally nilpotent derivations of polynomial rings

โœ Scribed by F. B. Pakovich


Publisher
SP MAIK Nauka/Interperiodica
Year
1995
Tongue
English
Weight
138 KB
Volume
58
Category
Article
ISSN
0001-4346

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Centralizers of locally nilpotent deriva
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Locally nilpotent derivations of the polynomial ring in n variables over the complex field, algebraic actions of the additive group G. of complex numbers on C", and vector fields on C" admitting a strictly polynomial flow, are equivalent objects. The polynomial centralizer of the vector field corres

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Locally Nilpotent Derivations over a UFD
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Given a UFD R containing the rational numbers, we study locally nilpotent w x R-derivations of the polynomial ring R X, Y ; in particular, we give a generalization of Rentschler's Theorem and a criterion for the existence of a slice. These results are then applied to describe rank two locally nilpot